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Finding the Third Proportional to 301,710.75 and 651,276

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Solution

The third proportional to 301,710.75 and 651,276 is: 1,405,851.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,710.75 : 651,276 = 651,276 : x
  2. Step 2: Convert to fraction form
    301,710.75/651,276 = 651,276/x
  3. Step 3: Cross multiply
    301,710.75x = 651,276 × 651,276
  4. Step 4: Simplify right side
    301,710.75x = 424,160,428,176
  5. Step 5: Solve for x
    x = 424,160,428,176/301,710.75
  6. Step 6: Final answer
    x = 1,405,851.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.