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Finding the Third Proportional to 346,688 and 517,764

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Solution

The third proportional to 346,688 and 517,764 is: 773,258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,688 : 517,764 = 517,764 : x
  2. Step 2: Convert to fraction form
    346,688/517,764 = 517,764/x
  3. Step 3: Cross multiply
    346,688x = 517,764 × 517,764
  4. Step 4: Simplify right side
    346,688x = 268,079,559,696
  5. Step 5: Solve for x
    x = 268,079,559,696/346,688
  6. Step 6: Final answer
    x = 773,258.84

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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.