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Finding the Third Proportional to 455,810.63 and 663,727.50

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Solution

The third proportional to 455,810.63 and 663,727.50 is: 966,485.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,810.63 : 663,727.50 = 663,727.50 : x
  2. Step 2: Convert to fraction form
    455,810.63/663,727.50 = 663,727.50/x
  3. Step 3: Cross multiply
    455,810.63x = 663,727.50 × 663,727.50
  4. Step 4: Simplify right side
    455,810.63x = 440,534,194,256.25
  5. Step 5: Solve for x
    x = 440,534,194,256.25/455,810.63
  6. Step 6: Final answer
    x = 966,485.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.