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Finding the Third Proportional to 255,925.50 and 598,078.50

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Solution

The third proportional to 255,925.50 and 598,078.50 is: 1,397,664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,925.50 : 598,078.50 = 598,078.50 : x
  2. Step 2: Convert to fraction form
    255,925.50/598,078.50 = 598,078.50/x
  3. Step 3: Cross multiply
    255,925.50x = 598,078.50 × 598,078.50
  4. Step 4: Simplify right side
    255,925.50x = 357,697,892,162.25
  5. Step 5: Solve for x
    x = 357,697,892,162.25/255,925.50
  6. Step 6: Final answer
    x = 1,397,664.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.