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Finding the Third Proportional to 498,170 and 793,072

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Solution

The third proportional to 498,170 and 793,072 is: 1,262,547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,170 : 793,072 = 793,072 : x
  2. Step 2: Convert to fraction form
    498,170/793,072 = 793,072/x
  3. Step 3: Cross multiply
    498,170x = 793,072 × 793,072
  4. Step 4: Simplify right side
    498,170x = 628,963,197,184
  5. Step 5: Solve for x
    x = 628,963,197,184/498,170
  6. Step 6: Final answer
    x = 1,262,547.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.