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Finding the Third Proportional to 524,730 and 802,308

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Solution

The third proportional to 524,730 and 802,308 is: 1,226,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,730 : 802,308 = 802,308 : x
  2. Step 2: Convert to fraction form
    524,730/802,308 = 802,308/x
  3. Step 3: Cross multiply
    524,730x = 802,308 × 802,308
  4. Step 4: Simplify right side
    524,730x = 643,698,126,864
  5. Step 5: Solve for x
    x = 643,698,126,864/524,730
  6. Step 6: Final answer
    x = 1,226,722.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.