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Finding the Third Proportional to 373,438 and 560,430

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Solution

The third proportional to 373,438 and 560,430 is: 841,054.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,438 : 560,430 = 560,430 : x
  2. Step 2: Convert to fraction form
    373,438/560,430 = 560,430/x
  3. Step 3: Cross multiply
    373,438x = 560,430 × 560,430
  4. Step 4: Simplify right side
    373,438x = 314,081,784,900
  5. Step 5: Solve for x
    x = 314,081,784,900/373,438
  6. Step 6: Final answer
    x = 841,054.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.