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Finding the Third Proportional to 290,348 and 432,399

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Solution

The third proportional to 290,348 and 432,399 is: 643,947.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,348 : 432,399 = 432,399 : x
  2. Step 2: Convert to fraction form
    290,348/432,399 = 432,399/x
  3. Step 3: Cross multiply
    290,348x = 432,399 × 432,399
  4. Step 4: Simplify right side
    290,348x = 186,968,895,201
  5. Step 5: Solve for x
    x = 186,968,895,201/290,348
  6. Step 6: Final answer
    x = 643,947.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.