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Finding the Third Proportional to 260,418,766.50 and 556,652,371

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Solution

The third proportional to 260,418,766.50 and 556,652,371 is: 1,189,859,956.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,418,766.50 : 556,652,371 = 556,652,371 : x
  2. Step 2: Convert to fraction form
    260,418,766.50/556,652,371 = 556,652,371/x
  3. Step 3: Cross multiply
    260,418,766.50x = 556,652,371 × 556,652,371
  4. Step 4: Simplify right side
    260,418,766.50x = 309,861,862,139,921,664
  5. Step 5: Solve for x
    x = 309,861,862,139,921,664/260,418,766.50
  6. Step 6: Final answer
    x = 1,189,859,956.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.