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Finding the Third Proportional to 245,526 and 528,597

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Solution

The third proportional to 245,526 and 528,597 is: 1,138,025.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,526 : 528,597 = 528,597 : x
  2. Step 2: Convert to fraction form
    245,526/528,597 = 528,597/x
  3. Step 3: Cross multiply
    245,526x = 528,597 × 528,597
  4. Step 4: Simplify right side
    245,526x = 279,414,788,409
  5. Step 5: Solve for x
    x = 279,414,788,409/245,526
  6. Step 6: Final answer
    x = 1,138,025.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.