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Finding the Third Proportional to 508,089.75 and 730,303.38

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Solution

The third proportional to 508,089.75 and 730,303.38 is: 1,049,702.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,089.75 : 730,303.38 = 730,303.38 : x
  2. Step 2: Convert to fraction form
    508,089.75/730,303.38 = 730,303.38/x
  3. Step 3: Cross multiply
    508,089.75x = 730,303.38 × 730,303.38
  4. Step 4: Simplify right side
    508,089.75x = 533,343,019,536.39
  5. Step 5: Solve for x
    x = 533,343,019,536.39/508,089.75
  6. Step 6: Final answer
    x = 1,049,702.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.