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Finding the Third Proportional to 261,969.19 and 572,973.75

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Solution

The third proportional to 261,969.19 and 572,973.75 is: 1,253,196.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,969.19 : 572,973.75 = 572,973.75 : x
  2. Step 2: Convert to fraction form
    261,969.19/572,973.75 = 572,973.75/x
  3. Step 3: Cross multiply
    261,969.19x = 572,973.75 × 572,973.75
  4. Step 4: Simplify right side
    261,969.19x = 328,298,918,189.06
  5. Step 5: Solve for x
    x = 328,298,918,189.06/261,969.19
  6. Step 6: Final answer
    x = 1,253,196.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.