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Finding the Third Proportional to 359,380,233 and 537,633,731.25

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Solution

The third proportional to 359,380,233 and 537,633,731.25 is: 804,301,412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,380,233 : 537,633,731.25 = 537,633,731.25 : x
  2. Step 2: Convert to fraction form
    359,380,233/537,633,731.25 = 537,633,731.25/x
  3. Step 3: Cross multiply
    359,380,233x = 537,633,731.25 × 537,633,731.25
  4. Step 4: Simplify right side
    359,380,233x = 289,050,028,977,797,248
  5. Step 5: Solve for x
    x = 289,050,028,977,797,248/359,380,233
  6. Step 6: Final answer
    x = 804,301,412.36

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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.