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Finding the Third Proportional to 369,500,566.50 and 516,583,541.25

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Solution

The third proportional to 369,500,566.50 and 516,583,541.25 is: 722,214,197.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,500,566.50 : 516,583,541.25 = 516,583,541.25 : x
  2. Step 2: Convert to fraction form
    369,500,566.50/516,583,541.25 = 516,583,541.25/x
  3. Step 3: Cross multiply
    369,500,566.50x = 516,583,541.25 × 516,583,541.25
  4. Step 4: Simplify right side
    369,500,566.50x = 266,858,555,090,390,464
  5. Step 5: Solve for x
    x = 266,858,555,090,390,464/369,500,566.50
  6. Step 6: Final answer
    x = 722,214,197.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.