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Finding the Third Proportional to 549,449 and 849,082

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Solution

The third proportional to 549,449 and 849,082 is: 1,312,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,449 : 849,082 = 849,082 : x
  2. Step 2: Convert to fraction form
    549,449/849,082 = 849,082/x
  3. Step 3: Cross multiply
    549,449x = 849,082 × 849,082
  4. Step 4: Simplify right side
    549,449x = 720,940,242,724
  5. Step 5: Solve for x
    x = 720,940,242,724/549,449
  6. Step 6: Final answer
    x = 1,312,114.94

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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.