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Finding the Third Proportional to 346,368 and 719,952

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Solution

The third proportional to 346,368 and 719,952 is: 1,496,474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,368 : 719,952 = 719,952 : x
  2. Step 2: Convert to fraction form
    346,368/719,952 = 719,952/x
  3. Step 3: Cross multiply
    346,368x = 719,952 × 719,952
  4. Step 4: Simplify right side
    346,368x = 518,330,882,304
  5. Step 5: Solve for x
    x = 518,330,882,304/346,368
  6. Step 6: Final answer
    x = 1,496,474.51

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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.