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Finding the Third Proportional to 514,090 and 753,570

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Solution

The third proportional to 514,090 and 753,570 is: 1,104,607.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,090 : 753,570 = 753,570 : x
  2. Step 2: Convert to fraction form
    514,090/753,570 = 753,570/x
  3. Step 3: Cross multiply
    514,090x = 753,570 × 753,570
  4. Step 4: Simplify right side
    514,090x = 567,867,744,900
  5. Step 5: Solve for x
    x = 567,867,744,900/514,090
  6. Step 6: Final answer
    x = 1,104,607.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.