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Finding the Third Proportional to 518,332.50 and 773,501.06

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Solution

The third proportional to 518,332.50 and 773,501.06 is: 1,154,285.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,332.50 : 773,501.06 = 773,501.06 : x
  2. Step 2: Convert to fraction form
    518,332.50/773,501.06 = 773,501.06/x
  3. Step 3: Cross multiply
    518,332.50x = 773,501.06 × 773,501.06
  4. Step 4: Simplify right side
    518,332.50x = 598,303,893,688.63
  5. Step 5: Solve for x
    x = 598,303,893,688.63/518,332.50
  6. Step 6: Final answer
    x = 1,154,285.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.