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Finding the Third Proportional to 535,276 and 781,557

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Solution

The third proportional to 535,276 and 781,557 is: 1,141,152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,276 : 781,557 = 781,557 : x
  2. Step 2: Convert to fraction form
    535,276/781,557 = 781,557/x
  3. Step 3: Cross multiply
    535,276x = 781,557 × 781,557
  4. Step 4: Simplify right side
    535,276x = 610,831,344,249
  5. Step 5: Solve for x
    x = 610,831,344,249/535,276
  6. Step 6: Final answer
    x = 1,141,152.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.