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Finding the Third Proportional to 431,688 and 655,308

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Solution

The third proportional to 431,688 and 655,308 is: 994,766.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,688 : 655,308 = 655,308 : x
  2. Step 2: Convert to fraction form
    431,688/655,308 = 655,308/x
  3. Step 3: Cross multiply
    431,688x = 655,308 × 655,308
  4. Step 4: Simplify right side
    431,688x = 429,428,574,864
  5. Step 5: Solve for x
    x = 429,428,574,864/431,688
  6. Step 6: Final answer
    x = 994,766.07

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.