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Finding the Third Proportional to 462,402 and 706,722.75

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Solution

The third proportional to 462,402 and 706,722.75 is: 1,080,136.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,402 : 706,722.75 = 706,722.75 : x
  2. Step 2: Convert to fraction form
    462,402/706,722.75 = 706,722.75/x
  3. Step 3: Cross multiply
    462,402x = 706,722.75 × 706,722.75
  4. Step 4: Simplify right side
    462,402x = 499,457,045,367.56
  5. Step 5: Solve for x
    x = 499,457,045,367.56/462,402
  6. Step 6: Final answer
    x = 1,080,136.00

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.