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Finding the Third Proportional to 346,112 and 506,028

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Solution

The third proportional to 346,112 and 506,028 is: 739,830.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,112 : 506,028 = 506,028 : x
  2. Step 2: Convert to fraction form
    346,112/506,028 = 506,028/x
  3. Step 3: Cross multiply
    346,112x = 506,028 × 506,028
  4. Step 4: Simplify right side
    346,112x = 256,064,336,784
  5. Step 5: Solve for x
    x = 256,064,336,784/346,112
  6. Step 6: Final answer
    x = 739,830.85

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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.