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Finding the Third Proportional to 534,873 and 785,938.50

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Solution

The third proportional to 534,873 and 785,938.50 is: 1,154,852.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,873 : 785,938.50 = 785,938.50 : x
  2. Step 2: Convert to fraction form
    534,873/785,938.50 = 785,938.50/x
  3. Step 3: Cross multiply
    534,873x = 785,938.50 × 785,938.50
  4. Step 4: Simplify right side
    534,873x = 617,699,325,782.25
  5. Step 5: Solve for x
    x = 617,699,325,782.25/534,873
  6. Step 6: Final answer
    x = 1,154,852.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.