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Finding the Third Proportional to 295,637 and 456,579

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Solution

The third proportional to 295,637 and 456,579 is: 705,136.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,637 : 456,579 = 456,579 : x
  2. Step 2: Convert to fraction form
    295,637/456,579 = 456,579/x
  3. Step 3: Cross multiply
    295,637x = 456,579 × 456,579
  4. Step 4: Simplify right side
    295,637x = 208,464,383,241
  5. Step 5: Solve for x
    x = 208,464,383,241/295,637
  6. Step 6: Final answer
    x = 705,136.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.