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Finding the Third Proportional to 346,088 and 767,328

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Solution

The third proportional to 346,088 and 767,328 is: 1,701,279.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,088 : 767,328 = 767,328 : x
  2. Step 2: Convert to fraction form
    346,088/767,328 = 767,328/x
  3. Step 3: Cross multiply
    346,088x = 767,328 × 767,328
  4. Step 4: Simplify right side
    346,088x = 588,792,259,584
  5. Step 5: Solve for x
    x = 588,792,259,584/346,088
  6. Step 6: Final answer
    x = 1,701,279.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.