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Finding the Third Proportional to 415,831.50 and 895,611

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Solution

The third proportional to 415,831.50 and 895,611 is: 1,928,952.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,831.50 : 895,611 = 895,611 : x
  2. Step 2: Convert to fraction form
    415,831.50/895,611 = 895,611/x
  3. Step 3: Cross multiply
    415,831.50x = 895,611 × 895,611
  4. Step 4: Simplify right side
    415,831.50x = 802,119,063,321
  5. Step 5: Solve for x
    x = 802,119,063,321/415,831.50
  6. Step 6: Final answer
    x = 1,928,952.14

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.