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Finding the Third Proportional to 528,765 and 805,540

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Solution

The third proportional to 528,765 and 805,540 is: 1,227,189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,765 : 805,540 = 805,540 : x
  2. Step 2: Convert to fraction form
    528,765/805,540 = 805,540/x
  3. Step 3: Cross multiply
    528,765x = 805,540 × 805,540
  4. Step 4: Simplify right side
    528,765x = 648,894,691,600
  5. Step 5: Solve for x
    x = 648,894,691,600/528,765
  6. Step 6: Final answer
    x = 1,227,189.19

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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.