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Finding the Third Proportional to 536,566 and 752,047

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Solution

The third proportional to 536,566 and 752,047 is: 1,054,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,566 : 752,047 = 752,047 : x
  2. Step 2: Convert to fraction form
    536,566/752,047 = 752,047/x
  3. Step 3: Cross multiply
    536,566x = 752,047 × 752,047
  4. Step 4: Simplify right side
    536,566x = 565,574,690,209
  5. Step 5: Solve for x
    x = 565,574,690,209/536,566
  6. Step 6: Final answer
    x = 1,054,063.60

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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.