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Finding the Third Proportional to 304,368 and 468,432

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Solution

The third proportional to 304,368 and 468,432 is: 720,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,368 : 468,432 = 468,432 : x
  2. Step 2: Convert to fraction form
    304,368/468,432 = 468,432/x
  3. Step 3: Cross multiply
    304,368x = 468,432 × 468,432
  4. Step 4: Simplify right side
    304,368x = 219,428,538,624
  5. Step 5: Solve for x
    x = 219,428,538,624/304,368
  6. Step 6: Final answer
    x = 720,931.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.