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Finding the Third Proportional to 462,645 and 707,089.50

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Solution

The third proportional to 462,645 and 707,089.50 is: 1,080,689.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,645 : 707,089.50 = 707,089.50 : x
  2. Step 2: Convert to fraction form
    462,645/707,089.50 = 707,089.50/x
  3. Step 3: Cross multiply
    462,645x = 707,089.50 × 707,089.50
  4. Step 4: Simplify right side
    462,645x = 499,975,561,010.25
  5. Step 5: Solve for x
    x = 499,975,561,010.25/462,645
  6. Step 6: Final answer
    x = 1,080,689.43

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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.