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Finding the Third Proportional to 503,064 and 761,076

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Solution

The third proportional to 503,064 and 761,076 is: 1,151,417.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,064 : 761,076 = 761,076 : x
  2. Step 2: Convert to fraction form
    503,064/761,076 = 761,076/x
  3. Step 3: Cross multiply
    503,064x = 761,076 × 761,076
  4. Step 4: Simplify right side
    503,064x = 579,236,677,776
  5. Step 5: Solve for x
    x = 579,236,677,776/503,064
  6. Step 6: Final answer
    x = 1,151,417.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.