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Finding the Third Proportional to 261,872,626.50 and 393,902,258.25

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Solution

The third proportional to 261,872,626.50 and 393,902,258.25 is: 592,497,929.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,872,626.50 : 393,902,258.25 = 393,902,258.25 : x
  2. Step 2: Convert to fraction form
    261,872,626.50/393,902,258.25 = 393,902,258.25/x
  3. Step 3: Cross multiply
    261,872,626.50x = 393,902,258.25 × 393,902,258.25
  4. Step 4: Simplify right side
    261,872,626.50x = 155,158,989,054,449,696
  5. Step 5: Solve for x
    x = 155,158,989,054,449,696/261,872,626.50
  6. Step 6: Final answer
    x = 592,497,929.73

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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.