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Finding the Third Proportional to 602,167.50 and 1,263,448.13

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Solution

The third proportional to 602,167.50 and 1,263,448.13 is: 2,650,925.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,167.50 : 1,263,448.13 = 1,263,448.13 : x
  2. Step 2: Convert to fraction form
    602,167.50/1,263,448.13 = 1,263,448.13/x
  3. Step 3: Cross multiply
    602,167.50x = 1,263,448.13 × 1,263,448.13
  4. Step 4: Simplify right side
    602,167.50x = 1,596,301,164,566.02
  5. Step 5: Solve for x
    x = 1,596,301,164,566.02/602,167.50
  6. Step 6: Final answer
    x = 2,650,925.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.