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Finding the Third Proportional to 507,120,780 and 761,892,498

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Solution

The third proportional to 507,120,780 and 761,892,498 is: 1,144,658,632.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,120,780 : 761,892,498 = 761,892,498 : x
  2. Step 2: Convert to fraction form
    507,120,780/761,892,498 = 761,892,498/x
  3. Step 3: Cross multiply
    507,120,780x = 761,892,498 × 761,892,498
  4. Step 4: Simplify right side
    507,120,780x = 580,480,178,508,680,064
  5. Step 5: Solve for x
    x = 580,480,178,508,680,064/507,120,780
  6. Step 6: Final answer
    x = 1,144,658,632.42

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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.