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Finding the Third Proportional to 358,798 and 754,772

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Solution

The third proportional to 358,798 and 754,772 is: 1,587,747.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,798 : 754,772 = 754,772 : x
  2. Step 2: Convert to fraction form
    358,798/754,772 = 754,772/x
  3. Step 3: Cross multiply
    358,798x = 754,772 × 754,772
  4. Step 4: Simplify right side
    358,798x = 569,680,771,984
  5. Step 5: Solve for x
    x = 569,680,771,984/358,798
  6. Step 6: Final answer
    x = 1,587,747.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.