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Finding the Third Proportional to 333,798.47 and 731,566.69

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Solution

The third proportional to 333,798.47 and 731,566.69 is: 1,603,332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,798.47 : 731,566.69 = 731,566.69 : x
  2. Step 2: Convert to fraction form
    333,798.47/731,566.69 = 731,566.69/x
  3. Step 3: Cross multiply
    333,798.47x = 731,566.69 × 731,566.69
  4. Step 4: Simplify right side
    333,798.47x = 535,189,818,259.72
  5. Step 5: Solve for x
    x = 535,189,818,259.72/333,798.47
  6. Step 6: Final answer
    x = 1,603,332.16

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Why These Related Problems?

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