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Finding the Third Proportional to 430,035 and 601,474.50

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Solution

The third proportional to 430,035 and 601,474.50 is: 841,260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,035 : 601,474.50 = 601,474.50 : x
  2. Step 2: Convert to fraction form
    430,035/601,474.50 = 601,474.50/x
  3. Step 3: Cross multiply
    430,035x = 601,474.50 × 601,474.50
  4. Step 4: Simplify right side
    430,035x = 361,771,574,150.25
  5. Step 5: Solve for x
    x = 361,771,574,150.25/430,035
  6. Step 6: Final answer
    x = 841,260.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.