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Finding the Third Proportional to 534,303.42 and 787,326.75

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Solution

The third proportional to 534,303.42 and 787,326.75 is: 1,160,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,303.42 : 787,326.75 = 787,326.75 : x
  2. Step 2: Convert to fraction form
    534,303.42/787,326.75 = 787,326.75/x
  3. Step 3: Cross multiply
    534,303.42x = 787,326.75 × 787,326.75
  4. Step 4: Simplify right side
    534,303.42x = 619,883,411,265.56
  5. Step 5: Solve for x
    x = 619,883,411,265.56/534,303.42
  6. Step 6: Final answer
    x = 1,160,171.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.