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Finding the Third Proportional to 351,948,854.81 and 479,294,266.78

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Solution

The third proportional to 351,948,854.81 and 479,294,266.78 is: 652,716,981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,948,854.81 : 479,294,266.78 = 479,294,266.78 : x
  2. Step 2: Convert to fraction form
    351,948,854.81/479,294,266.78 = 479,294,266.78/x
  3. Step 3: Cross multiply
    351,948,854.81x = 479,294,266.78 × 479,294,266.78
  4. Step 4: Simplify right side
    351,948,854.81x = 229,722,994,169,376,032
  5. Step 5: Solve for x
    x = 229,722,994,169,376,032/351,948,854.81
  6. Step 6: Final answer
    x = 652,716,981.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.