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Finding the Third Proportional to 492,626.25 and 742,464

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Solution

The third proportional to 492,626.25 and 742,464 is: 1,119,008.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,626.25 : 742,464 = 742,464 : x
  2. Step 2: Convert to fraction form
    492,626.25/742,464 = 742,464/x
  3. Step 3: Cross multiply
    492,626.25x = 742,464 × 742,464
  4. Step 4: Simplify right side
    492,626.25x = 551,252,791,296
  5. Step 5: Solve for x
    x = 551,252,791,296/492,626.25
  6. Step 6: Final answer
    x = 1,119,008.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.