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Finding the Third Proportional to 537,030 and 752,814

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Solution

The third proportional to 537,030 and 752,814 is: 1,055,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,030 : 752,814 = 752,814 : x
  2. Step 2: Convert to fraction form
    537,030/752,814 = 752,814/x
  3. Step 3: Cross multiply
    537,030x = 752,814 × 752,814
  4. Step 4: Simplify right side
    537,030x = 566,728,918,596
  5. Step 5: Solve for x
    x = 566,728,918,596/537,030
  6. Step 6: Final answer
    x = 1,055,302.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.