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Finding the Third Proportional to 291,915 and 433,678.50

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Solution

The third proportional to 291,915 and 433,678.50 is: 644,287.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,915 : 433,678.50 = 433,678.50 : x
  2. Step 2: Convert to fraction form
    291,915/433,678.50 = 433,678.50/x
  3. Step 3: Cross multiply
    291,915x = 433,678.50 × 433,678.50
  4. Step 4: Simplify right side
    291,915x = 188,077,041,362.25
  5. Step 5: Solve for x
    x = 188,077,041,362.25/291,915
  6. Step 6: Final answer
    x = 644,287.01

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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.