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Finding the Third Proportional to 340,584.75 and 730,053

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Solution

The third proportional to 340,584.75 and 730,053 is: 1,564,889.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,584.75 : 730,053 = 730,053 : x
  2. Step 2: Convert to fraction form
    340,584.75/730,053 = 730,053/x
  3. Step 3: Cross multiply
    340,584.75x = 730,053 × 730,053
  4. Step 4: Simplify right side
    340,584.75x = 532,977,382,809
  5. Step 5: Solve for x
    x = 532,977,382,809/340,584.75
  6. Step 6: Final answer
    x = 1,564,889.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.