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Finding the Third Proportional to 302,433 and 470,392.50

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Solution

The third proportional to 302,433 and 470,392.50 is: 731,630.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,433 : 470,392.50 = 470,392.50 : x
  2. Step 2: Convert to fraction form
    302,433/470,392.50 = 470,392.50/x
  3. Step 3: Cross multiply
    302,433x = 470,392.50 × 470,392.50
  4. Step 4: Simplify right side
    302,433x = 221,269,104,056.25
  5. Step 5: Solve for x
    x = 221,269,104,056.25/302,433
  6. Step 6: Final answer
    x = 731,630.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.