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Finding the Third Proportional to 346,148 and 744,004

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Solution

The third proportional to 346,148 and 744,004 is: 1,599,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,148 : 744,004 = 744,004 : x
  2. Step 2: Convert to fraction form
    346,148/744,004 = 744,004/x
  3. Step 3: Cross multiply
    346,148x = 744,004 × 744,004
  4. Step 4: Simplify right side
    346,148x = 553,541,952,016
  5. Step 5: Solve for x
    x = 553,541,952,016/346,148
  6. Step 6: Final answer
    x = 1,599,148.20

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.