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Finding the Third Proportional to 514,726 and 742,560

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Solution

The third proportional to 514,726 and 742,560 is: 1,071,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,726 : 742,560 = 742,560 : x
  2. Step 2: Convert to fraction form
    514,726/742,560 = 742,560/x
  3. Step 3: Cross multiply
    514,726x = 742,560 × 742,560
  4. Step 4: Simplify right side
    514,726x = 551,395,353,600
  5. Step 5: Solve for x
    x = 551,395,353,600/514,726
  6. Step 6: Final answer
    x = 1,071,240.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.