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Finding the Third Proportional to 584,357 and 876,534

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Solution

The third proportional to 584,357 and 876,534 is: 1,314,798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,357 : 876,534 = 876,534 : x
  2. Step 2: Convert to fraction form
    584,357/876,534 = 876,534/x
  3. Step 3: Cross multiply
    584,357x = 876,534 × 876,534
  4. Step 4: Simplify right side
    584,357x = 768,311,853,156
  5. Step 5: Solve for x
    x = 768,311,853,156/584,357
  6. Step 6: Final answer
    x = 1,314,798.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.