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Finding the Third Proportional to 346,109 and 506,023.50

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Solution

The third proportional to 346,109 and 506,023.50 is: 739,824.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,109 : 506,023.50 = 506,023.50 : x
  2. Step 2: Convert to fraction form
    346,109/506,023.50 = 506,023.50/x
  3. Step 3: Cross multiply
    346,109x = 506,023.50 × 506,023.50
  4. Step 4: Simplify right side
    346,109x = 256,059,782,552.25
  5. Step 5: Solve for x
    x = 256,059,782,552.25/346,109
  6. Step 6: Final answer
    x = 739,824.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.