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Finding the Third Proportional to 517,572 and 785,669.63

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Solution

The third proportional to 517,572 and 785,669.63 is: 1,192,639.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,572 : 785,669.63 = 785,669.63 : x
  2. Step 2: Convert to fraction form
    517,572/785,669.63 = 785,669.63/x
  3. Step 3: Cross multiply
    517,572x = 785,669.63 × 785,669.63
  4. Step 4: Simplify right side
    517,572x = 617,276,759,647.64
  5. Step 5: Solve for x
    x = 617,276,759,647.64/517,572
  6. Step 6: Final answer
    x = 1,192,639.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.