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Finding the Third Proportional to 259,359,960 and 560,130,856

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Solution

The third proportional to 259,359,960 and 560,130,856 is: 1,209,695,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,359,960 : 560,130,856 = 560,130,856 : x
  2. Step 2: Convert to fraction form
    259,359,960/560,130,856 = 560,130,856/x
  3. Step 3: Cross multiply
    259,359,960x = 560,130,856 × 560,130,856
  4. Step 4: Simplify right side
    259,359,960x = 313,746,575,843,292,736
  5. Step 5: Solve for x
    x = 313,746,575,843,292,736/259,359,960
  6. Step 6: Final answer
    x = 1,209,695,497.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.