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Finding the Third Proportional to 455,089 and 612,637.50

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Solution

The third proportional to 455,089 and 612,637.50 is: 824,728.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,089 : 612,637.50 = 612,637.50 : x
  2. Step 2: Convert to fraction form
    455,089/612,637.50 = 612,637.50/x
  3. Step 3: Cross multiply
    455,089x = 612,637.50 × 612,637.50
  4. Step 4: Simplify right side
    455,089x = 375,324,706,406.25
  5. Step 5: Solve for x
    x = 375,324,706,406.25/455,089
  6. Step 6: Final answer
    x = 824,728.14

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.