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Finding the Third Proportional to 590,403.94 and 939,908.81

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Solution

The third proportional to 590,403.94 and 939,908.81 is: 1,496,312.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,403.94 : 939,908.81 = 939,908.81 : x
  2. Step 2: Convert to fraction form
    590,403.94/939,908.81 = 939,908.81/x
  3. Step 3: Cross multiply
    590,403.94x = 939,908.81 × 939,908.81
  4. Step 4: Simplify right side
    590,403.94x = 883,428,575,815.16
  5. Step 5: Solve for x
    x = 883,428,575,815.16/590,403.94
  6. Step 6: Final answer
    x = 1,496,312.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.