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Finding the Third Proportional to 492,655.50 and 742,506.75

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Solution

The third proportional to 492,655.50 and 742,506.75 is: 1,119,070.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,655.50 : 742,506.75 = 742,506.75 : x
  2. Step 2: Convert to fraction form
    492,655.50/742,506.75 = 742,506.75/x
  3. Step 3: Cross multiply
    492,655.50x = 742,506.75 × 742,506.75
  4. Step 4: Simplify right side
    492,655.50x = 551,316,273,795.56
  5. Step 5: Solve for x
    x = 551,316,273,795.56/492,655.50
  6. Step 6: Final answer
    x = 1,119,070.58

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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.