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Finding the Third Proportional to 583,715 and 887,534

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Solution

The third proportional to 583,715 and 887,534 is: 1,349,488.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,715 : 887,534 = 887,534 : x
  2. Step 2: Convert to fraction form
    583,715/887,534 = 887,534/x
  3. Step 3: Cross multiply
    583,715x = 887,534 × 887,534
  4. Step 4: Simplify right side
    583,715x = 787,716,601,156
  5. Step 5: Solve for x
    x = 787,716,601,156/583,715
  6. Step 6: Final answer
    x = 1,349,488.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.