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Finding the Third Proportional to 261,485 and 404,053.50

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Solution

The third proportional to 261,485 and 404,053.50 is: 624,354.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,485 : 404,053.50 = 404,053.50 : x
  2. Step 2: Convert to fraction form
    261,485/404,053.50 = 404,053.50/x
  3. Step 3: Cross multiply
    261,485x = 404,053.50 × 404,053.50
  4. Step 4: Simplify right side
    261,485x = 163,259,230,862.25
  5. Step 5: Solve for x
    x = 163,259,230,862.25/261,485
  6. Step 6: Final answer
    x = 624,354.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.