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Finding the Third Proportional to 493,146 and 742,554

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Solution

The third proportional to 493,146 and 742,554 is: 1,118,099.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,146 : 742,554 = 742,554 : x
  2. Step 2: Convert to fraction form
    493,146/742,554 = 742,554/x
  3. Step 3: Cross multiply
    493,146x = 742,554 × 742,554
  4. Step 4: Simplify right side
    493,146x = 551,386,442,916
  5. Step 5: Solve for x
    x = 551,386,442,916/493,146
  6. Step 6: Final answer
    x = 1,118,099.80

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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.