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Finding the Third Proportional to 365,702,287.50 and 781,001,361

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Solution

The third proportional to 365,702,287.50 and 781,001,361 is: 1,667,922,642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,702,287.50 : 781,001,361 = 781,001,361 : x
  2. Step 2: Convert to fraction form
    365,702,287.50/781,001,361 = 781,001,361/x
  3. Step 3: Cross multiply
    365,702,287.50x = 781,001,361 × 781,001,361
  4. Step 4: Simplify right side
    365,702,287.50x = 609,963,125,883,852,288
  5. Step 5: Solve for x
    x = 609,963,125,883,852,288/365,702,287.50
  6. Step 6: Final answer
    x = 1,667,922,642.91

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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.