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Finding the Third Proportional to 346,262 and 760,492

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Solution

The third proportional to 346,262 and 760,492 is: 1,670,261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,262 : 760,492 = 760,492 : x
  2. Step 2: Convert to fraction form
    346,262/760,492 = 760,492/x
  3. Step 3: Cross multiply
    346,262x = 760,492 × 760,492
  4. Step 4: Simplify right side
    346,262x = 578,348,082,064
  5. Step 5: Solve for x
    x = 578,348,082,064/346,262
  6. Step 6: Final answer
    x = 1,670,261.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.