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Finding the Third Proportional to 272,256,128 and 597,411,520

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Solution

The third proportional to 272,256,128 and 597,411,520 is: 1,310,899,875.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,256,128 : 597,411,520 = 597,411,520 : x
  2. Step 2: Convert to fraction form
    272,256,128/597,411,520 = 597,411,520/x
  3. Step 3: Cross multiply
    272,256,128x = 597,411,520 × 597,411,520
  4. Step 4: Simplify right side
    272,256,128x = 356,900,524,228,710,400
  5. Step 5: Solve for x
    x = 356,900,524,228,710,400/272,256,128
  6. Step 6: Final answer
    x = 1,310,899,875.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.