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Finding the Third Proportional to 239,502,744 and 495,434,232

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Solution

The third proportional to 239,502,744 and 495,434,232 is: 1,024,852,885.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,502,744 : 495,434,232 = 495,434,232 : x
  2. Step 2: Convert to fraction form
    239,502,744/495,434,232 = 495,434,232/x
  3. Step 3: Cross multiply
    239,502,744x = 495,434,232 × 495,434,232
  4. Step 4: Simplify right side
    239,502,744x = 245,455,078,237,429,824
  5. Step 5: Solve for x
    x = 245,455,078,237,429,824/239,502,744
  6. Step 6: Final answer
    x = 1,024,852,885.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.