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Finding the Third Proportional to 514,702.13 and 742,526.44

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Solution

The third proportional to 514,702.13 and 742,526.44 is: 1,071,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,702.13 : 742,526.44 = 742,526.44 : x
  2. Step 2: Convert to fraction form
    514,702.13/742,526.44 = 742,526.44/x
  3. Step 3: Cross multiply
    514,702.13x = 742,526.44 × 742,526.44
  4. Step 4: Simplify right side
    514,702.13x = 551,345,510,386.44
  5. Step 5: Solve for x
    x = 551,345,510,386.44/514,702.13
  6. Step 6: Final answer
    x = 1,071,193.38

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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.