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Finding the Third Proportional to 310,612,522.50 and 494,484,365.25

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Solution

The third proportional to 310,612,522.50 and 494,484,365.25 is: 787,201,963.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,612,522.50 : 494,484,365.25 = 494,484,365.25 : x
  2. Step 2: Convert to fraction form
    310,612,522.50/494,484,365.25 = 494,484,365.25/x
  3. Step 3: Cross multiply
    310,612,522.50x = 494,484,365.25 × 494,484,365.25
  4. Step 4: Simplify right side
    310,612,522.50x = 244,514,787,476,695,392
  5. Step 5: Solve for x
    x = 244,514,787,476,695,392/310,612,522.50
  6. Step 6: Final answer
    x = 787,201,963.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.