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Finding the Third Proportional to 550,525 and 804,547.50

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Solution

The third proportional to 550,525 and 804,547.50 is: 1,175,780.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,525 : 804,547.50 = 804,547.50 : x
  2. Step 2: Convert to fraction form
    550,525/804,547.50 = 804,547.50/x
  3. Step 3: Cross multiply
    550,525x = 804,547.50 × 804,547.50
  4. Step 4: Simplify right side
    550,525x = 647,296,679,756.25
  5. Step 5: Solve for x
    x = 647,296,679,756.25/550,525
  6. Step 6: Final answer
    x = 1,175,780.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.