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Finding the Third Proportional to 560,542 and 868,354

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Solution

The third proportional to 560,542 and 868,354 is: 1,345,195.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,542 : 868,354 = 868,354 : x
  2. Step 2: Convert to fraction form
    560,542/868,354 = 868,354/x
  3. Step 3: Cross multiply
    560,542x = 868,354 × 868,354
  4. Step 4: Simplify right side
    560,542x = 754,038,669,316
  5. Step 5: Solve for x
    x = 754,038,669,316/560,542
  6. Step 6: Final answer
    x = 1,345,195.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.