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Finding the Third Proportional to 290,713,438.13 and 446,846,689.13

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Solution

The third proportional to 290,713,438.13 and 446,846,689.13 is: 686,834,309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,713,438.13 : 446,846,689.13 = 446,846,689.13 : x
  2. Step 2: Convert to fraction form
    290,713,438.13/446,846,689.13 = 446,846,689.13/x
  3. Step 3: Cross multiply
    290,713,438.13x = 446,846,689.13 × 446,846,689.13
  4. Step 4: Simplify right side
    290,713,438.13x = 199,671,963,581,974,400
  5. Step 5: Solve for x
    x = 199,671,963,581,974,400/290,713,438.13
  6. Step 6: Final answer
    x = 686,834,309.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.