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Finding the Third Proportional to 466,526 and 742,695

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Solution

The third proportional to 466,526 and 742,695 is: 1,182,347.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,526 : 742,695 = 742,695 : x
  2. Step 2: Convert to fraction form
    466,526/742,695 = 742,695/x
  3. Step 3: Cross multiply
    466,526x = 742,695 × 742,695
  4. Step 4: Simplify right side
    466,526x = 551,595,863,025
  5. Step 5: Solve for x
    x = 551,595,863,025/466,526
  6. Step 6: Final answer
    x = 1,182,347.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.