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Finding the Third Proportional to 538,716 and 803,402

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Solution

The third proportional to 538,716 and 803,402 is: 1,198,135.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,716 : 803,402 = 803,402 : x
  2. Step 2: Convert to fraction form
    538,716/803,402 = 803,402/x
  3. Step 3: Cross multiply
    538,716x = 803,402 × 803,402
  4. Step 4: Simplify right side
    538,716x = 645,454,773,604
  5. Step 5: Solve for x
    x = 645,454,773,604/538,716
  6. Step 6: Final answer
    x = 1,198,135.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.