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Finding the Third Proportional to 492,648.19 and 748,225.13

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Solution

The third proportional to 492,648.19 and 748,225.13 is: 1,136,390.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,648.19 : 748,225.13 = 748,225.13 : x
  2. Step 2: Convert to fraction form
    492,648.19/748,225.13 = 748,225.13/x
  3. Step 3: Cross multiply
    492,648.19x = 748,225.13 × 748,225.13
  4. Step 4: Simplify right side
    492,648.19x = 559,840,837,681.27
  5. Step 5: Solve for x
    x = 559,840,837,681.27/492,648.19
  6. Step 6: Final answer
    x = 1,136,390.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.