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Finding the Third Proportional to 245,976.75 and 530,712

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Solution

The third proportional to 245,976.75 and 530,712 is: 1,145,048.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,976.75 : 530,712 = 530,712 : x
  2. Step 2: Convert to fraction form
    245,976.75/530,712 = 530,712/x
  3. Step 3: Cross multiply
    245,976.75x = 530,712 × 530,712
  4. Step 4: Simplify right side
    245,976.75x = 281,655,226,944
  5. Step 5: Solve for x
    x = 281,655,226,944/245,976.75
  6. Step 6: Final answer
    x = 1,145,048.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.