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Finding the Third Proportional to 415,141,149 and 583,948,300.50

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Solution

The third proportional to 415,141,149 and 583,948,300.50 is: 821,396,815.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,141,149 : 583,948,300.50 = 583,948,300.50 : x
  2. Step 2: Convert to fraction form
    415,141,149/583,948,300.50 = 583,948,300.50/x
  3. Step 3: Cross multiply
    415,141,149x = 583,948,300.50 × 583,948,300.50
  4. Step 4: Simplify right side
    415,141,149x = 340,995,617,656,838,272
  5. Step 5: Solve for x
    x = 340,995,617,656,838,272/415,141,149
  6. Step 6: Final answer
    x = 821,396,815.22

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.