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Finding the Third Proportional to 655,620.75 and 1,012,547.25

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Solution

The third proportional to 655,620.75 and 1,012,547.25 is: 1,563,788.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,620.75 : 1,012,547.25 = 1,012,547.25 : x
  2. Step 2: Convert to fraction form
    655,620.75/1,012,547.25 = 1,012,547.25/x
  3. Step 3: Cross multiply
    655,620.75x = 1,012,547.25 × 1,012,547.25
  4. Step 4: Simplify right side
    655,620.75x = 1,025,251,933,482.56
  5. Step 5: Solve for x
    x = 1,025,251,933,482.56/655,620.75
  6. Step 6: Final answer
    x = 1,563,788.11

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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.