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Finding the Third Proportional to 346,558.50 and 514,755

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Solution

The third proportional to 346,558.50 and 514,755 is: 764,582.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,558.50 : 514,755 = 514,755 : x
  2. Step 2: Convert to fraction form
    346,558.50/514,755 = 514,755/x
  3. Step 3: Cross multiply
    346,558.50x = 514,755 × 514,755
  4. Step 4: Simplify right side
    346,558.50x = 264,972,710,025
  5. Step 5: Solve for x
    x = 264,972,710,025/346,558.50
  6. Step 6: Final answer
    x = 764,582.92

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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.