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Finding the Third Proportional to 497,148,633 and 747,798,556.50

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Solution

The third proportional to 497,148,633 and 747,798,556.50 is: 1,124,819,910.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,148,633 : 747,798,556.50 = 747,798,556.50 : x
  2. Step 2: Convert to fraction form
    497,148,633/747,798,556.50 = 747,798,556.50/x
  3. Step 3: Cross multiply
    497,148,633x = 747,798,556.50 × 747,798,556.50
  4. Step 4: Simplify right side
    497,148,633x = 559,202,681,103,483,712
  5. Step 5: Solve for x
    x = 559,202,681,103,483,712/497,148,633
  6. Step 6: Final answer
    x = 1,124,819,910.96

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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.