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Finding the Third Proportional to 371,952 and 805,707

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Solution

The third proportional to 371,952 and 805,707 is: 1,745,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,952 : 805,707 = 805,707 : x
  2. Step 2: Convert to fraction form
    371,952/805,707 = 805,707/x
  3. Step 3: Cross multiply
    371,952x = 805,707 × 805,707
  4. Step 4: Simplify right side
    371,952x = 649,163,769,849
  5. Step 5: Solve for x
    x = 649,163,769,849/371,952
  6. Step 6: Final answer
    x = 1,745,289.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.