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Finding the Third Proportional to 501,281,055 and 766,329,538.50

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Solution

The third proportional to 501,281,055 and 766,329,538.50 is: 1,171,520,359.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,281,055 : 766,329,538.50 = 766,329,538.50 : x
  2. Step 2: Convert to fraction form
    501,281,055/766,329,538.50 = 766,329,538.50/x
  3. Step 3: Cross multiply
    501,281,055x = 766,329,538.50 × 766,329,538.50
  4. Step 4: Simplify right side
    501,281,055x = 587,260,961,577,623,040
  5. Step 5: Solve for x
    x = 587,260,961,577,623,040/501,281,055
  6. Step 6: Final answer
    x = 1,171,520,359.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.