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Finding the Third Proportional to 455,574 and 679,666.50

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Solution

The third proportional to 455,574 and 679,666.50 is: 1,013,987.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,574 : 679,666.50 = 679,666.50 : x
  2. Step 2: Convert to fraction form
    455,574/679,666.50 = 679,666.50/x
  3. Step 3: Cross multiply
    455,574x = 679,666.50 × 679,666.50
  4. Step 4: Simplify right side
    455,574x = 461,946,551,222.25
  5. Step 5: Solve for x
    x = 461,946,551,222.25/455,574
  6. Step 6: Final answer
    x = 1,013,987.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.