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Finding the Third Proportional to 286,530.75 and 524,620.13

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Solution

The third proportional to 286,530.75 and 524,620.13 is: 960,547.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,530.75 : 524,620.13 = 524,620.13 : x
  2. Step 2: Convert to fraction form
    286,530.75/524,620.13 = 524,620.13/x
  3. Step 3: Cross multiply
    286,530.75x = 524,620.13 × 524,620.13
  4. Step 4: Simplify right side
    286,530.75x = 275,226,275,555.02
  5. Step 5: Solve for x
    x = 275,226,275,555.02/286,530.75
  6. Step 6: Final answer
    x = 960,547.08

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.