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Finding the Third Proportional to 534,770 and 802,260

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Solution

The third proportional to 534,770 and 802,260 is: 1,203,547.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,770 : 802,260 = 802,260 : x
  2. Step 2: Convert to fraction form
    534,770/802,260 = 802,260/x
  3. Step 3: Cross multiply
    534,770x = 802,260 × 802,260
  4. Step 4: Simplify right side
    534,770x = 643,621,107,600
  5. Step 5: Solve for x
    x = 643,621,107,600/534,770
  6. Step 6: Final answer
    x = 1,203,547.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.