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Finding the Third Proportional to 342,776 and 744,016

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Solution

The third proportional to 342,776 and 744,016 is: 1,614,931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,776 : 744,016 = 744,016 : x
  2. Step 2: Convert to fraction form
    342,776/744,016 = 744,016/x
  3. Step 3: Cross multiply
    342,776x = 744,016 × 744,016
  4. Step 4: Simplify right side
    342,776x = 553,559,808,256
  5. Step 5: Solve for x
    x = 553,559,808,256/342,776
  6. Step 6: Final answer
    x = 1,614,931.64

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Why These Related Problems?

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