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Finding the Third Proportional to 550,359 and 760,473

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Solution

The third proportional to 550,359 and 760,473 is: 1,050,803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,359 : 760,473 = 760,473 : x
  2. Step 2: Convert to fraction form
    550,359/760,473 = 760,473/x
  3. Step 3: Cross multiply
    550,359x = 760,473 × 760,473
  4. Step 4: Simplify right side
    550,359x = 578,319,183,729
  5. Step 5: Solve for x
    x = 578,319,183,729/550,359
  6. Step 6: Final answer
    x = 1,050,803.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.