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Finding the Third Proportional to 261,281.81 and 403,810.03

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Solution

The third proportional to 261,281.81 and 403,810.03 is: 624,086.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,281.81 : 403,810.03 = 403,810.03 : x
  2. Step 2: Convert to fraction form
    261,281.81/403,810.03 = 403,810.03/x
  3. Step 3: Cross multiply
    261,281.81x = 403,810.03 × 403,810.03
  4. Step 4: Simplify right side
    261,281.81x = 163,062,541,338.13
  5. Step 5: Solve for x
    x = 163,062,541,338.13/261,281.81
  6. Step 6: Final answer
    x = 624,086.84

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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.