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Finding the Third Proportional to 364,695.75 and 585,967.50

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Solution

The third proportional to 364,695.75 and 585,967.50 is: 941,491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,695.75 : 585,967.50 = 585,967.50 : x
  2. Step 2: Convert to fraction form
    364,695.75/585,967.50 = 585,967.50/x
  3. Step 3: Cross multiply
    364,695.75x = 585,967.50 × 585,967.50
  4. Step 4: Simplify right side
    364,695.75x = 343,357,911,056.25
  5. Step 5: Solve for x
    x = 343,357,911,056.25/364,695.75
  6. Step 6: Final answer
    x = 941,491.40

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.