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Finding the Third Proportional to 346,696 and 517,776

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Solution

The third proportional to 346,696 and 517,776 is: 773,276.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,696 : 517,776 = 517,776 : x
  2. Step 2: Convert to fraction form
    346,696/517,776 = 517,776/x
  3. Step 3: Cross multiply
    346,696x = 517,776 × 517,776
  4. Step 4: Simplify right side
    346,696x = 268,091,986,176
  5. Step 5: Solve for x
    x = 268,091,986,176/346,696
  6. Step 6: Final answer
    x = 773,276.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.