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Finding the Third Proportional to 566,208.51 and 857,554.59

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Solution

The third proportional to 566,208.51 and 857,554.59 is: 1,298,814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,208.51 : 857,554.59 = 857,554.59 : x
  2. Step 2: Convert to fraction form
    566,208.51/857,554.59 = 857,554.59/x
  3. Step 3: Cross multiply
    566,208.51x = 857,554.59 × 857,554.59
  4. Step 4: Simplify right side
    566,208.51x = 735,399,881,261.73
  5. Step 5: Solve for x
    x = 735,399,881,261.73/566,208.51
  6. Step 6: Final answer
    x = 1,298,814.60

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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.