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Finding the Third Proportional to 614,808 and 962,352

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Solution

The third proportional to 614,808 and 962,352 is: 1,506,358.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,808 : 962,352 = 962,352 : x
  2. Step 2: Convert to fraction form
    614,808/962,352 = 962,352/x
  3. Step 3: Cross multiply
    614,808x = 962,352 × 962,352
  4. Step 4: Simplify right side
    614,808x = 926,121,371,904
  5. Step 5: Solve for x
    x = 926,121,371,904/614,808
  6. Step 6: Final answer
    x = 1,506,358.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.