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Finding the Third Proportional to 582,273 and 925,897.50

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Solution

The third proportional to 582,273 and 925,897.50 is: 1,472,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,273 : 925,897.50 = 925,897.50 : x
  2. Step 2: Convert to fraction form
    582,273/925,897.50 = 925,897.50/x
  3. Step 3: Cross multiply
    582,273x = 925,897.50 × 925,897.50
  4. Step 4: Simplify right side
    582,273x = 857,286,180,506.25
  5. Step 5: Solve for x
    x = 857,286,180,506.25/582,273
  6. Step 6: Final answer
    x = 1,472,309.69

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.