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Finding the Third Proportional to 456,798 and 727,437

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Solution

The third proportional to 456,798 and 727,437 is: 1,158,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,798 : 727,437 = 727,437 : x
  2. Step 2: Convert to fraction form
    456,798/727,437 = 727,437/x
  3. Step 3: Cross multiply
    456,798x = 727,437 × 727,437
  4. Step 4: Simplify right side
    456,798x = 529,164,588,969
  5. Step 5: Solve for x
    x = 529,164,588,969/456,798
  6. Step 6: Final answer
    x = 1,158,421.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.