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Finding the Third Proportional to 602,342.50 and 932,673.50

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Solution

The third proportional to 602,342.50 and 932,673.50 is: 1,444,161.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,342.50 : 932,673.50 = 932,673.50 : x
  2. Step 2: Convert to fraction form
    602,342.50/932,673.50 = 932,673.50/x
  3. Step 3: Cross multiply
    602,342.50x = 932,673.50 × 932,673.50
  4. Step 4: Simplify right side
    602,342.50x = 869,879,857,602.25
  5. Step 5: Solve for x
    x = 869,879,857,602.25/602,342.50
  6. Step 6: Final answer
    x = 1,444,161.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.