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Finding the Third Proportional to 352,299,460 and 736,721,576

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Solution

The third proportional to 352,299,460 and 736,721,576 is: 1,540,617,406.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,299,460 : 736,721,576 = 736,721,576 : x
  2. Step 2: Convert to fraction form
    352,299,460/736,721,576 = 736,721,576/x
  3. Step 3: Cross multiply
    352,299,460x = 736,721,576 × 736,721,576
  4. Step 4: Simplify right side
    352,299,460x = 542,758,680,543,923,776
  5. Step 5: Solve for x
    x = 542,758,680,543,923,776/352,299,460
  6. Step 6: Final answer
    x = 1,540,617,406.98

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.