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Finding the Third Proportional to 346,260 and 760,488

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Solution

The third proportional to 346,260 and 760,488 is: 1,670,253.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,260 : 760,488 = 760,488 : x
  2. Step 2: Convert to fraction form
    346,260/760,488 = 760,488/x
  3. Step 3: Cross multiply
    346,260x = 760,488 × 760,488
  4. Step 4: Simplify right side
    346,260x = 578,341,998,144
  5. Step 5: Solve for x
    x = 578,341,998,144/346,260
  6. Step 6: Final answer
    x = 1,670,253.56

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