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Finding the Third Proportional to 632,547 and 925,095.38

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Solution

The third proportional to 632,547 and 925,095.38 is: 1,352,945.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,547 : 925,095.38 = 925,095.38 : x
  2. Step 2: Convert to fraction form
    632,547/925,095.38 = 925,095.38/x
  3. Step 3: Cross multiply
    632,547x = 925,095.38 × 925,095.38
  4. Step 4: Simplify right side
    632,547x = 855,801,452,846.39
  5. Step 5: Solve for x
    x = 855,801,452,846.39/632,547
  6. Step 6: Final answer
    x = 1,352,945.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.