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Finding the Third Proportional to 358,276 and 782,044

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Solution

The third proportional to 358,276 and 782,044 is: 1,707,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,276 : 782,044 = 782,044 : x
  2. Step 2: Convert to fraction form
    358,276/782,044 = 782,044/x
  3. Step 3: Cross multiply
    358,276x = 782,044 × 782,044
  4. Step 4: Simplify right side
    358,276x = 611,592,817,936
  5. Step 5: Solve for x
    x = 611,592,817,936/358,276
  6. Step 6: Final answer
    x = 1,707,043.78

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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.