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Finding the Third Proportional to 356,984 and 552,752

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Solution

The third proportional to 356,984 and 552,752 is: 855,878.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,984 : 552,752 = 552,752 : x
  2. Step 2: Convert to fraction form
    356,984/552,752 = 552,752/x
  3. Step 3: Cross multiply
    356,984x = 552,752 × 552,752
  4. Step 4: Simplify right side
    356,984x = 305,534,773,504
  5. Step 5: Solve for x
    x = 305,534,773,504/356,984
  6. Step 6: Final answer
    x = 855,878.06

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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.