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Finding the Third Proportional to 242,713 and 528,037

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Solution

The third proportional to 242,713 and 528,037 is: 1,148,776.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,713 : 528,037 = 528,037 : x
  2. Step 2: Convert to fraction form
    242,713/528,037 = 528,037/x
  3. Step 3: Cross multiply
    242,713x = 528,037 × 528,037
  4. Step 4: Simplify right side
    242,713x = 278,823,073,369
  5. Step 5: Solve for x
    x = 278,823,073,369/242,713
  6. Step 6: Final answer
    x = 1,148,776.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.