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Finding the Third Proportional to 415,141,151 and 583,948,303

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Solution

The third proportional to 415,141,151 and 583,948,303 is: 821,396,818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,141,151 : 583,948,303 = 583,948,303 : x
  2. Step 2: Convert to fraction form
    415,141,151/583,948,303 = 583,948,303/x
  3. Step 3: Cross multiply
    415,141,151x = 583,948,303 × 583,948,303
  4. Step 4: Simplify right side
    415,141,151x = 340,995,620,576,579,840
  5. Step 5: Solve for x
    x = 340,995,620,576,579,840/415,141,151
  6. Step 6: Final answer
    x = 821,396,818.30

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Why These Related Problems?

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