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Finding the Third Proportional to 532,080 and 803,643

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Solution

The third proportional to 532,080 and 803,643 is: 1,213,806.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,080 : 803,643 = 803,643 : x
  2. Step 2: Convert to fraction form
    532,080/803,643 = 803,643/x
  3. Step 3: Cross multiply
    532,080x = 803,643 × 803,643
  4. Step 4: Simplify right side
    532,080x = 645,842,071,449
  5. Step 5: Solve for x
    x = 645,842,071,449/532,080
  6. Step 6: Final answer
    x = 1,213,806.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.