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Finding the Third Proportional to 349,084 and 724,072

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Solution

The third proportional to 349,084 and 724,072 is: 1,501,874.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,084 : 724,072 = 724,072 : x
  2. Step 2: Convert to fraction form
    349,084/724,072 = 724,072/x
  3. Step 3: Cross multiply
    349,084x = 724,072 × 724,072
  4. Step 4: Simplify right side
    349,084x = 524,280,261,184
  5. Step 5: Solve for x
    x = 524,280,261,184/349,084
  6. Step 6: Final answer
    x = 1,501,874.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.