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Finding the Third Proportional to 454,281.75 and 664,897.50

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Solution

The third proportional to 454,281.75 and 664,897.50 is: 973,159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,281.75 : 664,897.50 = 664,897.50 : x
  2. Step 2: Convert to fraction form
    454,281.75/664,897.50 = 664,897.50/x
  3. Step 3: Cross multiply
    454,281.75x = 664,897.50 × 664,897.50
  4. Step 4: Simplify right side
    454,281.75x = 442,088,685,506.25
  5. Step 5: Solve for x
    x = 442,088,685,506.25/454,281.75
  6. Step 6: Final answer
    x = 973,159.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.