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Finding the Third Proportional to 284,556 and 428,710.50

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Solution

The third proportional to 284,556 and 428,710.50 is: 645,892.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,556 : 428,710.50 = 428,710.50 : x
  2. Step 2: Convert to fraction form
    284,556/428,710.50 = 428,710.50/x
  3. Step 3: Cross multiply
    284,556x = 428,710.50 × 428,710.50
  4. Step 4: Simplify right side
    284,556x = 183,792,692,810.25
  5. Step 5: Solve for x
    x = 183,792,692,810.25/284,556
  6. Step 6: Final answer
    x = 645,892.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.