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Finding the Third Proportional to 473,688 and 685,654.88

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Solution

The third proportional to 473,688 and 685,654.88 is: 992,473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,688 : 685,654.88 = 685,654.88 : x
  2. Step 2: Convert to fraction form
    473,688/685,654.88 = 685,654.88/x
  3. Step 3: Cross multiply
    473,688x = 685,654.88 × 685,654.88
  4. Step 4: Simplify right side
    473,688x = 470,122,607,611.27
  5. Step 5: Solve for x
    x = 470,122,607,611.27/473,688
  6. Step 6: Final answer
    x = 992,473.12

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.