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Finding the Third Proportional to 596,980.13 and 945,280.13

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Solution

The third proportional to 596,980.13 and 945,280.13 is: 1,496,791.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,980.13 : 945,280.13 = 945,280.13 : x
  2. Step 2: Convert to fraction form
    596,980.13/945,280.13 = 945,280.13/x
  3. Step 3: Cross multiply
    596,980.13x = 945,280.13 × 945,280.13
  4. Step 4: Simplify right side
    596,980.13x = 893,554,514,720.02
  5. Step 5: Solve for x
    x = 893,554,514,720.02/596,980.13
  6. Step 6: Final answer
    x = 1,496,791.06

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.