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Finding the Third Proportional to 328,009.63 and 535,610.19

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Solution

The third proportional to 328,009.63 and 535,610.19 is: 874,603.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,009.63 : 535,610.19 = 535,610.19 : x
  2. Step 2: Convert to fraction form
    328,009.63/535,610.19 = 535,610.19/x
  3. Step 3: Cross multiply
    328,009.63x = 535,610.19 × 535,610.19
  4. Step 4: Simplify right side
    328,009.63x = 286,878,272,953.79
  5. Step 5: Solve for x
    x = 286,878,272,953.79/328,009.63
  6. Step 6: Final answer
    x = 874,603.22

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.