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Finding the Third Proportional to 256,302.50 and 598,838.25

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Solution

The third proportional to 256,302.50 and 598,838.25 is: 1,399,156.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,302.50 : 598,838.25 = 598,838.25 : x
  2. Step 2: Convert to fraction form
    256,302.50/598,838.25 = 598,838.25/x
  3. Step 3: Cross multiply
    256,302.50x = 598,838.25 × 598,838.25
  4. Step 4: Simplify right side
    256,302.50x = 358,607,249,663.06
  5. Step 5: Solve for x
    x = 358,607,249,663.06/256,302.50
  6. Step 6: Final answer
    x = 1,399,156.27

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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.