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Finding the Third Proportional to 514,703.25 and 742,528.13

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Solution

The third proportional to 514,703.25 and 742,528.13 is: 1,071,195.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,703.25 : 742,528.13 = 742,528.13 : x
  2. Step 2: Convert to fraction form
    514,703.25/742,528.13 = 742,528.13/x
  3. Step 3: Cross multiply
    514,703.25x = 742,528.13 × 742,528.13
  4. Step 4: Simplify right side
    514,703.25x = 551,348,016,416.02
  5. Step 5: Solve for x
    x = 551,348,016,416.02/514,703.25
  6. Step 6: Final answer
    x = 1,071,195.91

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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.