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Finding the Third Proportional to 373,402 and 589,264

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Solution

The third proportional to 373,402 and 589,264 is: 929,914.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,402 : 589,264 = 589,264 : x
  2. Step 2: Convert to fraction form
    373,402/589,264 = 589,264/x
  3. Step 3: Cross multiply
    373,402x = 589,264 × 589,264
  4. Step 4: Simplify right side
    373,402x = 347,232,061,696
  5. Step 5: Solve for x
    x = 347,232,061,696/373,402
  6. Step 6: Final answer
    x = 929,914.84

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.