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Finding the Third Proportional to 566,209 and 857,556

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Solution

The third proportional to 566,209 and 857,556 is: 1,298,817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,209 : 857,556 = 857,556 : x
  2. Step 2: Convert to fraction form
    566,209/857,556 = 857,556/x
  3. Step 3: Cross multiply
    566,209x = 857,556 × 857,556
  4. Step 4: Simplify right side
    566,209x = 735,402,293,136
  5. Step 5: Solve for x
    x = 735,402,293,136/566,209
  6. Step 6: Final answer
    x = 1,298,817.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.