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Finding the Third Proportional to 325,130,712 and 495,318,420

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Solution

The third proportional to 325,130,712 and 495,318,420 is: 754,589,856.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,130,712 : 495,318,420 = 495,318,420 : x
  2. Step 2: Convert to fraction form
    325,130,712/495,318,420 = 495,318,420/x
  3. Step 3: Cross multiply
    325,130,712x = 495,318,420 × 495,318,420
  4. Step 4: Simplify right side
    325,130,712x = 245,340,337,191,296,384
  5. Step 5: Solve for x
    x = 245,340,337,191,296,384/325,130,712
  6. Step 6: Final answer
    x = 754,589,856.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.