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Finding the Third Proportional to 346,640 and 750,140

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Solution

The third proportional to 346,640 and 750,140 is: 1,623,326.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,640 : 750,140 = 750,140 : x
  2. Step 2: Convert to fraction form
    346,640/750,140 = 750,140/x
  3. Step 3: Cross multiply
    346,640x = 750,140 × 750,140
  4. Step 4: Simplify right side
    346,640x = 562,710,019,600
  5. Step 5: Solve for x
    x = 562,710,019,600/346,640
  6. Step 6: Final answer
    x = 1,623,326.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.