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Finding the Third Proportional to 256,554,000 and 560,151,464

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Solution

The third proportional to 256,554,000 and 560,151,464 is: 1,223,016,061.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,554,000 : 560,151,464 = 560,151,464 : x
  2. Step 2: Convert to fraction form
    256,554,000/560,151,464 = 560,151,464/x
  3. Step 3: Cross multiply
    256,554,000x = 560,151,464 × 560,151,464
  4. Step 4: Simplify right side
    256,554,000x = 313,769,662,621,343,296
  5. Step 5: Solve for x
    x = 313,769,662,621,343,296/256,554,000
  6. Step 6: Final answer
    x = 1,223,016,061.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.