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Finding the Third Proportional to 319,798 and 683,300

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Solution

The third proportional to 319,798 and 683,300 is: 1,459,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,798 : 683,300 = 683,300 : x
  2. Step 2: Convert to fraction form
    319,798/683,300 = 683,300/x
  3. Step 3: Cross multiply
    319,798x = 683,300 × 683,300
  4. Step 4: Simplify right side
    319,798x = 466,898,890,000
  5. Step 5: Solve for x
    x = 466,898,890,000/319,798
  6. Step 6: Final answer
    x = 1,459,980.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.