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Finding the Third Proportional to 527,923,284 and 718,941,402.50

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Solution

The third proportional to 527,923,284 and 718,941,402.50 is: 979,075,475.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,923,284 : 718,941,402.50 = 718,941,402.50 : x
  2. Step 2: Convert to fraction form
    527,923,284/718,941,402.50 = 718,941,402.50/x
  3. Step 3: Cross multiply
    527,923,284x = 718,941,402.50 × 718,941,402.50
  4. Step 4: Simplify right side
    527,923,284x = 516,876,740,228,667,008
  5. Step 5: Solve for x
    x = 516,876,740,228,667,008/527,923,284
  6. Step 6: Final answer
    x = 979,075,475.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.