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Finding the Third Proportional to 575,635.50 and 805,180.50

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Solution

The third proportional to 575,635.50 and 805,180.50 is: 1,126,260.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,635.50 : 805,180.50 = 805,180.50 : x
  2. Step 2: Convert to fraction form
    575,635.50/805,180.50 = 805,180.50/x
  3. Step 3: Cross multiply
    575,635.50x = 805,180.50 × 805,180.50
  4. Step 4: Simplify right side
    575,635.50x = 648,315,637,580.25
  5. Step 5: Solve for x
    x = 648,315,637,580.25/575,635.50
  6. Step 6: Final answer
    x = 1,126,260.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.