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Finding the Third Proportional to 416,730 and 630,907.50

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Solution

The third proportional to 416,730 and 630,907.50 is: 955,161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,730 : 630,907.50 = 630,907.50 : x
  2. Step 2: Convert to fraction form
    416,730/630,907.50 = 630,907.50/x
  3. Step 3: Cross multiply
    416,730x = 630,907.50 × 630,907.50
  4. Step 4: Simplify right side
    416,730x = 398,044,273,556.25
  5. Step 5: Solve for x
    x = 398,044,273,556.25/416,730
  6. Step 6: Final answer
    x = 955,161.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.