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Finding the Third Proportional to 278,127,354 and 604,632,516

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Solution

The third proportional to 278,127,354 and 604,632,516 is: 1,314,435,542.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,127,354 : 604,632,516 = 604,632,516 : x
  2. Step 2: Convert to fraction form
    278,127,354/604,632,516 = 604,632,516/x
  3. Step 3: Cross multiply
    278,127,354x = 604,632,516 × 604,632,516
  4. Step 4: Simplify right side
    278,127,354x = 365,580,479,404,490,240
  5. Step 5: Solve for x
    x = 365,580,479,404,490,240/278,127,354
  6. Step 6: Final answer
    x = 1,314,435,542.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.