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Finding the Third Proportional to 374,280.75 and 575,302.50

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Solution

The third proportional to 374,280.75 and 575,302.50 is: 884,290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,280.75 : 575,302.50 = 575,302.50 : x
  2. Step 2: Convert to fraction form
    374,280.75/575,302.50 = 575,302.50/x
  3. Step 3: Cross multiply
    374,280.75x = 575,302.50 × 575,302.50
  4. Step 4: Simplify right side
    374,280.75x = 330,972,966,506.25
  5. Step 5: Solve for x
    x = 330,972,966,506.25/374,280.75
  6. Step 6: Final answer
    x = 884,290.65

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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.