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Finding the Third Proportional to 549,324 and 848,871

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Solution

The third proportional to 549,324 and 848,871 is: 1,311,761.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,324 : 848,871 = 848,871 : x
  2. Step 2: Convert to fraction form
    549,324/848,871 = 848,871/x
  3. Step 3: Cross multiply
    549,324x = 848,871 × 848,871
  4. Step 4: Simplify right side
    549,324x = 720,581,974,641
  5. Step 5: Solve for x
    x = 720,581,974,641/549,324
  6. Step 6: Final answer
    x = 1,311,761.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.