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Finding the Third Proportional to 310,785,360 and 466,063,921

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Solution

The third proportional to 310,785,360 and 466,063,921 is: 698,924,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,785,360 : 466,063,921 = 466,063,921 : x
  2. Step 2: Convert to fraction form
    310,785,360/466,063,921 = 466,063,921/x
  3. Step 3: Cross multiply
    310,785,360x = 466,063,921 × 466,063,921
  4. Step 4: Simplify right side
    310,785,360x = 217,215,578,457,894,240
  5. Step 5: Solve for x
    x = 217,215,578,457,894,240/310,785,360
  6. Step 6: Final answer
    x = 698,924,744.90

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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.