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Finding the Third Proportional to 342,632 and 744,070

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Solution

The third proportional to 342,632 and 744,070 is: 1,615,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,632 : 744,070 = 744,070 : x
  2. Step 2: Convert to fraction form
    342,632/744,070 = 744,070/x
  3. Step 3: Cross multiply
    342,632x = 744,070 × 744,070
  4. Step 4: Simplify right side
    342,632x = 553,640,164,900
  5. Step 5: Solve for x
    x = 553,640,164,900/342,632
  6. Step 6: Final answer
    x = 1,615,844.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.