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Finding the Third Proportional to 431,585 and 653,376

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Solution

The third proportional to 431,585 and 653,376 is: 989,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,585 : 653,376 = 653,376 : x
  2. Step 2: Convert to fraction form
    431,585/653,376 = 653,376/x
  3. Step 3: Cross multiply
    431,585x = 653,376 × 653,376
  4. Step 4: Simplify right side
    431,585x = 426,900,197,376
  5. Step 5: Solve for x
    x = 426,900,197,376/431,585
  6. Step 6: Final answer
    x = 989,145.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.