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Finding the Third Proportional to 476,283 and 656,104.50

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Solution

The third proportional to 476,283 and 656,104.50 is: 903,817.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,283 : 656,104.50 = 656,104.50 : x
  2. Step 2: Convert to fraction form
    476,283/656,104.50 = 656,104.50/x
  3. Step 3: Cross multiply
    476,283x = 656,104.50 × 656,104.50
  4. Step 4: Simplify right side
    476,283x = 430,473,114,920.25
  5. Step 5: Solve for x
    x = 430,473,114,920.25/476,283
  6. Step 6: Final answer
    x = 903,817.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.