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Finding the Third Proportional to 296,465 and 651,973

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Solution

The third proportional to 296,465 and 651,973 is: 1,433,790.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,465 : 651,973 = 651,973 : x
  2. Step 2: Convert to fraction form
    296,465/651,973 = 651,973/x
  3. Step 3: Cross multiply
    296,465x = 651,973 × 651,973
  4. Step 4: Simplify right side
    296,465x = 425,068,792,729
  5. Step 5: Solve for x
    x = 425,068,792,729/296,465
  6. Step 6: Final answer
    x = 1,433,790.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.