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Finding the Third Proportional to 524,362.50 and 910,291.50

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Solution

The third proportional to 524,362.50 and 910,291.50 is: 1,580,262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,362.50 : 910,291.50 = 910,291.50 : x
  2. Step 2: Convert to fraction form
    524,362.50/910,291.50 = 910,291.50/x
  3. Step 3: Cross multiply
    524,362.50x = 910,291.50 × 910,291.50
  4. Step 4: Simplify right side
    524,362.50x = 828,630,614,972.25
  5. Step 5: Solve for x
    x = 828,630,614,972.25/524,362.50
  6. Step 6: Final answer
    x = 1,580,262.92

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.