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Finding the Third Proportional to 310,785,364 and 466,063,926

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Solution

The third proportional to 310,785,364 and 466,063,926 is: 698,924,750.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,785,364 : 466,063,926 = 466,063,926 : x
  2. Step 2: Convert to fraction form
    310,785,364/466,063,926 = 466,063,926/x
  3. Step 3: Cross multiply
    310,785,364x = 466,063,926 × 466,063,926
  4. Step 4: Simplify right side
    310,785,364x = 217,215,583,118,533,472
  5. Step 5: Solve for x
    x = 217,215,583,118,533,472/310,785,364
  6. Step 6: Final answer
    x = 698,924,750.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.