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Finding the Third Proportional to 314,936 and 478,236

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Solution

The third proportional to 314,936 and 478,236 is: 726,210.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,936 : 478,236 = 478,236 : x
  2. Step 2: Convert to fraction form
    314,936/478,236 = 478,236/x
  3. Step 3: Cross multiply
    314,936x = 478,236 × 478,236
  4. Step 4: Simplify right side
    314,936x = 228,709,671,696
  5. Step 5: Solve for x
    x = 228,709,671,696/314,936
  6. Step 6: Final answer
    x = 726,210.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.