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Finding the Third Proportional to 458,042.63 and 602,323.88

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Solution

The third proportional to 458,042.63 and 602,323.88 is: 792,053.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,042.63 : 602,323.88 = 602,323.88 : x
  2. Step 2: Convert to fraction form
    458,042.63/602,323.88 = 602,323.88/x
  3. Step 3: Cross multiply
    458,042.63x = 602,323.88 × 602,323.88
  4. Step 4: Simplify right side
    458,042.63x = 362,794,050,395.02
  5. Step 5: Solve for x
    x = 362,794,050,395.02/458,042.63
  6. Step 6: Final answer
    x = 792,053.03

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.