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Finding the Third Proportional to 509,456 and 785,560

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Solution

The third proportional to 509,456 and 785,560 is: 1,211,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,456 : 785,560 = 785,560 : x
  2. Step 2: Convert to fraction form
    509,456/785,560 = 785,560/x
  3. Step 3: Cross multiply
    509,456x = 785,560 × 785,560
  4. Step 4: Simplify right side
    509,456x = 617,104,513,600
  5. Step 5: Solve for x
    x = 617,104,513,600/509,456
  6. Step 6: Final answer
    x = 1,211,300.90

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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.