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Finding the Third Proportional to 431,577 and 653,364

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Solution

The third proportional to 431,577 and 653,364 is: 989,127.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,577 : 653,364 = 653,364 : x
  2. Step 2: Convert to fraction form
    431,577/653,364 = 653,364/x
  3. Step 3: Cross multiply
    431,577x = 653,364 × 653,364
  4. Step 4: Simplify right side
    431,577x = 426,884,516,496
  5. Step 5: Solve for x
    x = 426,884,516,496/431,577
  6. Step 6: Final answer
    x = 989,127.12

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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.