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Finding the Third Proportional to 518,430 and 846,549

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Solution

The third proportional to 518,430 and 846,549 is: 1,382,337.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,430 : 846,549 = 846,549 : x
  2. Step 2: Convert to fraction form
    518,430/846,549 = 846,549/x
  3. Step 3: Cross multiply
    518,430x = 846,549 × 846,549
  4. Step 4: Simplify right side
    518,430x = 716,645,209,401
  5. Step 5: Solve for x
    x = 716,645,209,401/518,430
  6. Step 6: Final answer
    x = 1,382,337.46

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.