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Finding the Third Proportional to 261,307.13 and 572,438.25

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Solution

The third proportional to 261,307.13 and 572,438.25 is: 1,254,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,307.13 : 572,438.25 = 572,438.25 : x
  2. Step 2: Convert to fraction form
    261,307.13/572,438.25 = 572,438.25/x
  3. Step 3: Cross multiply
    261,307.13x = 572,438.25 × 572,438.25
  4. Step 4: Simplify right side
    261,307.13x = 327,685,550,063.06
  5. Step 5: Solve for x
    x = 327,685,550,063.06/261,307.13
  6. Step 6: Final answer
    x = 1,254,024.55

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