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Finding the Third Proportional to 346,106 and 506,019

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Solution

The third proportional to 346,106 and 506,019 is: 739,817.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,106 : 506,019 = 506,019 : x
  2. Step 2: Convert to fraction form
    346,106/506,019 = 506,019/x
  3. Step 3: Cross multiply
    346,106x = 506,019 × 506,019
  4. Step 4: Simplify right side
    346,106x = 256,055,228,361
  5. Step 5: Solve for x
    x = 256,055,228,361/346,106
  6. Step 6: Final answer
    x = 739,817.36

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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.