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Finding the Third Proportional to 374,281.75 and 575,304

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Solution

The third proportional to 374,281.75 and 575,304 is: 884,292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,281.75 : 575,304 = 575,304 : x
  2. Step 2: Convert to fraction form
    374,281.75/575,304 = 575,304/x
  3. Step 3: Cross multiply
    374,281.75x = 575,304 × 575,304
  4. Step 4: Simplify right side
    374,281.75x = 330,974,692,416
  5. Step 5: Solve for x
    x = 330,974,692,416/374,281.75
  6. Step 6: Final answer
    x = 884,292.90

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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.