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Finding the Third Proportional to 523,390.50 and 1,133,730

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Solution

The third proportional to 523,390.50 and 1,133,730 is: 2,455,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,390.50 : 1,133,730 = 1,133,730 : x
  2. Step 2: Convert to fraction form
    523,390.50/1,133,730 = 1,133,730/x
  3. Step 3: Cross multiply
    523,390.50x = 1,133,730 × 1,133,730
  4. Step 4: Simplify right side
    523,390.50x = 1,285,343,712,900
  5. Step 5: Solve for x
    x = 1,285,343,712,900/523,390.50
  6. Step 6: Final answer
    x = 2,455,802.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.