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Finding the Third Proportional to 583,068 and 876,402

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Solution

The third proportional to 583,068 and 876,402 is: 1,317,308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,068 : 876,402 = 876,402 : x
  2. Step 2: Convert to fraction form
    583,068/876,402 = 876,402/x
  3. Step 3: Cross multiply
    583,068x = 876,402 × 876,402
  4. Step 4: Simplify right side
    583,068x = 768,080,465,604
  5. Step 5: Solve for x
    x = 768,080,465,604/583,068
  6. Step 6: Final answer
    x = 1,317,308.56

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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.