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Finding the Third Proportional to 242,835 and 521,349

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Solution

The third proportional to 242,835 and 521,349 is: 1,119,298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,835 : 521,349 = 521,349 : x
  2. Step 2: Convert to fraction form
    242,835/521,349 = 521,349/x
  3. Step 3: Cross multiply
    242,835x = 521,349 × 521,349
  4. Step 4: Simplify right side
    242,835x = 271,804,779,801
  5. Step 5: Solve for x
    x = 271,804,779,801/242,835
  6. Step 6: Final answer
    x = 1,119,298.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.