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Finding the Third Proportional to 524,742 and 829,597

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Solution

The third proportional to 524,742 and 829,597 is: 1,311,561.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,742 : 829,597 = 829,597 : x
  2. Step 2: Convert to fraction form
    524,742/829,597 = 829,597/x
  3. Step 3: Cross multiply
    524,742x = 829,597 × 829,597
  4. Step 4: Simplify right side
    524,742x = 688,231,182,409
  5. Step 5: Solve for x
    x = 688,231,182,409/524,742
  6. Step 6: Final answer
    x = 1,311,561.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.