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Finding the Third Proportional to 245,702.81 and 525,562.57

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Solution

The third proportional to 245,702.81 and 525,562.57 is: 1,124,187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,702.81 : 525,562.57 = 525,562.57 : x
  2. Step 2: Convert to fraction form
    245,702.81/525,562.57 = 525,562.57/x
  3. Step 3: Cross multiply
    245,702.81x = 525,562.57 × 525,562.57
  4. Step 4: Simplify right side
    245,702.81x = 276,216,015,313.48
  5. Step 5: Solve for x
    x = 276,216,015,313.48/245,702.81
  6. Step 6: Final answer
    x = 1,124,187.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.