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Finding the Third Proportional to 346,664 and 745,070

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Solution

The third proportional to 346,664 and 745,070 is: 1,601,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,664 : 745,070 = 745,070 : x
  2. Step 2: Convert to fraction form
    346,664/745,070 = 745,070/x
  3. Step 3: Cross multiply
    346,664x = 745,070 × 745,070
  4. Step 4: Simplify right side
    346,664x = 555,129,304,900
  5. Step 5: Solve for x
    x = 555,129,304,900/346,664
  6. Step 6: Final answer
    x = 1,601,346.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.