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Finding the Third Proportional to 507,265 and 783,222

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Solution

The third proportional to 507,265 and 783,222 is: 1,209,302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,265 : 783,222 = 783,222 : x
  2. Step 2: Convert to fraction form
    507,265/783,222 = 783,222/x
  3. Step 3: Cross multiply
    507,265x = 783,222 × 783,222
  4. Step 4: Simplify right side
    507,265x = 613,436,701,284
  5. Step 5: Solve for x
    x = 613,436,701,284/507,265
  6. Step 6: Final answer
    x = 1,209,302.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.