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Finding the Third Proportional to 346,356 and 719,928

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Solution

The third proportional to 346,356 and 719,928 is: 1,496,426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,356 : 719,928 = 719,928 : x
  2. Step 2: Convert to fraction form
    346,356/719,928 = 719,928/x
  3. Step 3: Cross multiply
    346,356x = 719,928 × 719,928
  4. Step 4: Simplify right side
    346,356x = 518,296,325,184
  5. Step 5: Solve for x
    x = 518,296,325,184/346,356
  6. Step 6: Final answer
    x = 1,496,426.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.