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Finding the Third Proportional to 522,669 and 736,047

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Solution

The third proportional to 522,669 and 736,047 is: 1,036,535.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,669 : 736,047 = 736,047 : x
  2. Step 2: Convert to fraction form
    522,669/736,047 = 736,047/x
  3. Step 3: Cross multiply
    522,669x = 736,047 × 736,047
  4. Step 4: Simplify right side
    522,669x = 541,765,186,209
  5. Step 5: Solve for x
    x = 541,765,186,209/522,669
  6. Step 6: Final answer
    x = 1,036,535.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.