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Finding the Third Proportional to 287,564 and 604,873

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Solution

The third proportional to 287,564 and 604,873 is: 1,272,312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,564 : 604,873 = 604,873 : x
  2. Step 2: Convert to fraction form
    287,564/604,873 = 604,873/x
  3. Step 3: Cross multiply
    287,564x = 604,873 × 604,873
  4. Step 4: Simplify right side
    287,564x = 365,871,346,129
  5. Step 5: Solve for x
    x = 365,871,346,129/287,564
  6. Step 6: Final answer
    x = 1,272,312.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.