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Finding the Third Proportional to 475,798 and 737,602

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Solution

The third proportional to 475,798 and 737,602 is: 1,143,461.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,798 : 737,602 = 737,602 : x
  2. Step 2: Convert to fraction form
    475,798/737,602 = 737,602/x
  3. Step 3: Cross multiply
    475,798x = 737,602 × 737,602
  4. Step 4: Simplify right side
    475,798x = 544,056,710,404
  5. Step 5: Solve for x
    x = 544,056,710,404/475,798
  6. Step 6: Final answer
    x = 1,143,461.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.