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Finding the Third Proportional to 575,362.50 and 863,044.50

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Solution

The third proportional to 575,362.50 and 863,044.50 is: 1,294,567.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,362.50 : 863,044.50 = 863,044.50 : x
  2. Step 2: Convert to fraction form
    575,362.50/863,044.50 = 863,044.50/x
  3. Step 3: Cross multiply
    575,362.50x = 863,044.50 × 863,044.50
  4. Step 4: Simplify right side
    575,362.50x = 744,845,808,980.25
  5. Step 5: Solve for x
    x = 744,845,808,980.25/575,362.50
  6. Step 6: Final answer
    x = 1,294,567.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.