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Finding the Third Proportional to 354,496,216.50 and 569,576,760.75

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Solution

The third proportional to 354,496,216.50 and 569,576,760.75 is: 915,151,336.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,496,216.50 : 569,576,760.75 = 569,576,760.75 : x
  2. Step 2: Convert to fraction form
    354,496,216.50/569,576,760.75 = 569,576,760.75/x
  3. Step 3: Cross multiply
    354,496,216.50x = 569,576,760.75 × 569,576,760.75
  4. Step 4: Simplify right side
    354,496,216.50x = 324,417,686,386,462,720
  5. Step 5: Solve for x
    x = 324,417,686,386,462,720/354,496,216.50
  6. Step 6: Final answer
    x = 915,151,336.70

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.