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Finding the Third Proportional to 532,325 and 846,572

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Solution

The third proportional to 532,325 and 846,572 is: 1,346,328.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,325 : 846,572 = 846,572 : x
  2. Step 2: Convert to fraction form
    532,325/846,572 = 846,572/x
  3. Step 3: Cross multiply
    532,325x = 846,572 × 846,572
  4. Step 4: Simplify right side
    532,325x = 716,684,151,184
  5. Step 5: Solve for x
    x = 716,684,151,184/532,325
  6. Step 6: Final answer
    x = 1,346,328.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.