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Finding the Third Proportional to 303,528 and 651,984

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Solution

The third proportional to 303,528 and 651,984 is: 1,400,474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,528 : 651,984 = 651,984 : x
  2. Step 2: Convert to fraction form
    303,528/651,984 = 651,984/x
  3. Step 3: Cross multiply
    303,528x = 651,984 × 651,984
  4. Step 4: Simplify right side
    303,528x = 425,083,136,256
  5. Step 5: Solve for x
    x = 425,083,136,256/303,528
  6. Step 6: Final answer
    x = 1,400,474.21

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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.