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Finding the Third Proportional to 583,534 and 1,266,657.50

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Solution

The third proportional to 583,534 and 1,266,657.50 is: 2,749,490.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,534 : 1,266,657.50 = 1,266,657.50 : x
  2. Step 2: Convert to fraction form
    583,534/1,266,657.50 = 1,266,657.50/x
  3. Step 3: Cross multiply
    583,534x = 1,266,657.50 × 1,266,657.50
  4. Step 4: Simplify right side
    583,534x = 1,604,421,222,306.25
  5. Step 5: Solve for x
    x = 1,604,421,222,306.25/583,534
  6. Step 6: Final answer
    x = 2,749,490.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.