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Finding the Third Proportional to 581,548,392 and 872,748,327

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Solution

The third proportional to 581,548,392 and 872,748,327 is: 1,309,761,410.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,548,392 : 872,748,327 = 872,748,327 : x
  2. Step 2: Convert to fraction form
    581,548,392/872,748,327 = 872,748,327/x
  3. Step 3: Cross multiply
    581,548,392x = 872,748,327 × 872,748,327
  4. Step 4: Simplify right side
    581,548,392x = 761,689,642,281,298,944
  5. Step 5: Solve for x
    x = 761,689,642,281,298,944/581,548,392
  6. Step 6: Final answer
    x = 1,309,761,410.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.