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Finding the Third Proportional to 413,368,147.50 and 612,303,414.75

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Solution

The third proportional to 413,368,147.50 and 612,303,414.75 is: 906,977,167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,368,147.50 : 612,303,414.75 = 612,303,414.75 : x
  2. Step 2: Convert to fraction form
    413,368,147.50/612,303,414.75 = 612,303,414.75/x
  3. Step 3: Cross multiply
    413,368,147.50x = 612,303,414.75 × 612,303,414.75
  4. Step 4: Simplify right side
    413,368,147.50x = 374,915,471,714,510,528
  5. Step 5: Solve for x
    x = 374,915,471,714,510,528/413,368,147.50
  6. Step 6: Final answer
    x = 906,977,167.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.