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Finding the Third Proportional to 371,886 and 805,572

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Solution

The third proportional to 371,886 and 805,572 is: 1,745,013.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,886 : 805,572 = 805,572 : x
  2. Step 2: Convert to fraction form
    371,886/805,572 = 805,572/x
  3. Step 3: Cross multiply
    371,886x = 805,572 × 805,572
  4. Step 4: Simplify right side
    371,886x = 648,946,247,184
  5. Step 5: Solve for x
    x = 648,946,247,184/371,886
  6. Step 6: Final answer
    x = 1,745,013.92

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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.