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Finding the Third Proportional to 292,470.50 and 632,916.50

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Solution

The third proportional to 292,470.50 and 632,916.50 is: 1,369,653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,470.50 : 632,916.50 = 632,916.50 : x
  2. Step 2: Convert to fraction form
    292,470.50/632,916.50 = 632,916.50/x
  3. Step 3: Cross multiply
    292,470.50x = 632,916.50 × 632,916.50
  4. Step 4: Simplify right side
    292,470.50x = 400,583,295,972.25
  5. Step 5: Solve for x
    x = 400,583,295,972.25/292,470.50
  6. Step 6: Final answer
    x = 1,369,653.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.