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Finding the Third Proportional to 346,090 and 767,332

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Solution

The third proportional to 346,090 and 767,332 is: 1,701,286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,090 : 767,332 = 767,332 : x
  2. Step 2: Convert to fraction form
    346,090/767,332 = 767,332/x
  3. Step 3: Cross multiply
    346,090x = 767,332 × 767,332
  4. Step 4: Simplify right side
    346,090x = 588,798,398,224
  5. Step 5: Solve for x
    x = 588,798,398,224/346,090
  6. Step 6: Final answer
    x = 1,701,286.94

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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.