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Finding the Third Proportional to 374,283.50 and 575,306.25

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Solution

The third proportional to 374,283.50 and 575,306.25 is: 884,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,283.50 : 575,306.25 = 575,306.25 : x
  2. Step 2: Convert to fraction form
    374,283.50/575,306.25 = 575,306.25/x
  3. Step 3: Cross multiply
    374,283.50x = 575,306.25 × 575,306.25
  4. Step 4: Simplify right side
    374,283.50x = 330,977,281,289.06
  5. Step 5: Solve for x
    x = 330,977,281,289.06/374,283.50
  6. Step 6: Final answer
    x = 884,295.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.