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Finding the Third Proportional to 357,039,414 and 551,716,920

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Solution

The third proportional to 357,039,414 and 551,716,920 is: 852,543,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,039,414 : 551,716,920 = 551,716,920 : x
  2. Step 2: Convert to fraction form
    357,039,414/551,716,920 = 551,716,920/x
  3. Step 3: Cross multiply
    357,039,414x = 551,716,920 × 551,716,920
  4. Step 4: Simplify right side
    357,039,414x = 304,391,559,814,286,400
  5. Step 5: Solve for x
    x = 304,391,559,814,286,400/357,039,414
  6. Step 6: Final answer
    x = 852,543,298.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.