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Finding the Third Proportional to 275,300.25 and 403,852.50

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Solution

The third proportional to 275,300.25 and 403,852.50 is: 592,432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,300.25 : 403,852.50 = 403,852.50 : x
  2. Step 2: Convert to fraction form
    275,300.25/403,852.50 = 403,852.50/x
  3. Step 3: Cross multiply
    275,300.25x = 403,852.50 × 403,852.50
  4. Step 4: Simplify right side
    275,300.25x = 163,096,841,756.25
  5. Step 5: Solve for x
    x = 163,096,841,756.25/275,300.25
  6. Step 6: Final answer
    x = 592,432.60

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.