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Finding the Third Proportional to 431,347 and 653,066

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Solution

The third proportional to 431,347 and 653,066 is: 988,751.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,347 : 653,066 = 653,066 : x
  2. Step 2: Convert to fraction form
    431,347/653,066 = 653,066/x
  3. Step 3: Cross multiply
    431,347x = 653,066 × 653,066
  4. Step 4: Simplify right side
    431,347x = 426,495,200,356
  5. Step 5: Solve for x
    x = 426,495,200,356/431,347
  6. Step 6: Final answer
    x = 988,751.98

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