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Finding the Third Proportional to 423,368 and 583,212

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Solution

The third proportional to 423,368 and 583,212 is: 803,405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,368 : 583,212 = 583,212 : x
  2. Step 2: Convert to fraction form
    423,368/583,212 = 583,212/x
  3. Step 3: Cross multiply
    423,368x = 583,212 × 583,212
  4. Step 4: Simplify right side
    423,368x = 340,136,236,944
  5. Step 5: Solve for x
    x = 340,136,236,944/423,368
  6. Step 6: Final answer
    x = 803,405.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.