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Finding the Third Proportional to 493,500,301 and 766,606,602

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Solution

The third proportional to 493,500,301 and 766,606,602 is: 1,190,851,719.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,500,301 : 766,606,602 = 766,606,602 : x
  2. Step 2: Convert to fraction form
    493,500,301/766,606,602 = 766,606,602/x
  3. Step 3: Cross multiply
    493,500,301x = 766,606,602 × 766,606,602
  4. Step 4: Simplify right side
    493,500,301x = 587,685,682,229,986,432
  5. Step 5: Solve for x
    x = 587,685,682,229,986,432/493,500,301
  6. Step 6: Final answer
    x = 1,190,851,719.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.