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Finding the Third Proportional to 346,050 and 465,612

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Solution

The third proportional to 346,050 and 465,612 is: 626,483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,050 : 465,612 = 465,612 : x
  2. Step 2: Convert to fraction form
    346,050/465,612 = 465,612/x
  3. Step 3: Cross multiply
    346,050x = 465,612 × 465,612
  4. Step 4: Simplify right side
    346,050x = 216,794,534,544
  5. Step 5: Solve for x
    x = 216,794,534,544/346,050
  6. Step 6: Final answer
    x = 626,483.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.