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Finding the Third Proportional to 541,762.50 and 840,033

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Solution

The third proportional to 541,762.50 and 840,033 is: 1,302,518.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,762.50 : 840,033 = 840,033 : x
  2. Step 2: Convert to fraction form
    541,762.50/840,033 = 840,033/x
  3. Step 3: Cross multiply
    541,762.50x = 840,033 × 840,033
  4. Step 4: Simplify right side
    541,762.50x = 705,655,441,089
  5. Step 5: Solve for x
    x = 705,655,441,089/541,762.50
  6. Step 6: Final answer
    x = 1,302,518.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.