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Finding the Third Proportional to 302,310 and 651,276

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Solution

The third proportional to 302,310 and 651,276 is: 1,403,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,310 : 651,276 = 651,276 : x
  2. Step 2: Convert to fraction form
    302,310/651,276 = 651,276/x
  3. Step 3: Cross multiply
    302,310x = 651,276 × 651,276
  4. Step 4: Simplify right side
    302,310x = 424,160,428,176
  5. Step 5: Solve for x
    x = 424,160,428,176/302,310
  6. Step 6: Final answer
    x = 1,403,064.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.