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Finding the Third Proportional to 359,547.75 and 798,907.50

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Solution

The third proportional to 359,547.75 and 798,907.50 is: 1,775,155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,547.75 : 798,907.50 = 798,907.50 : x
  2. Step 2: Convert to fraction form
    359,547.75/798,907.50 = 798,907.50/x
  3. Step 3: Cross multiply
    359,547.75x = 798,907.50 × 798,907.50
  4. Step 4: Simplify right side
    359,547.75x = 638,253,193,556.25
  5. Step 5: Solve for x
    x = 638,253,193,556.25/359,547.75
  6. Step 6: Final answer
    x = 1,775,155.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.