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Finding the Third Proportional to 762,341 and 1,016,315

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Solution

The third proportional to 762,341 and 1,016,315 is: 1,354,900.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,341 : 1,016,315 = 1,016,315 : x
  2. Step 2: Convert to fraction form
    762,341/1,016,315 = 1,016,315/x
  3. Step 3: Cross multiply
    762,341x = 1,016,315 × 1,016,315
  4. Step 4: Simplify right side
    762,341x = 1,032,896,179,225
  5. Step 5: Solve for x
    x = 1,032,896,179,225/762,341
  6. Step 6: Final answer
    x = 1,354,900.47

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.