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Finding the Third Proportional to 340,569 and 730,071

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Solution

The third proportional to 340,569 and 730,071 is: 1,565,038.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,569 : 730,071 = 730,071 : x
  2. Step 2: Convert to fraction form
    340,569/730,071 = 730,071/x
  3. Step 3: Cross multiply
    340,569x = 730,071 × 730,071
  4. Step 4: Simplify right side
    340,569x = 533,003,665,041
  5. Step 5: Solve for x
    x = 533,003,665,041/340,569
  6. Step 6: Final answer
    x = 1,565,038.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.