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Finding the Third Proportional to 351,803 and 829,650

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Solution

The third proportional to 351,803 and 829,650 is: 1,956,547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,803 : 829,650 = 829,650 : x
  2. Step 2: Convert to fraction form
    351,803/829,650 = 829,650/x
  3. Step 3: Cross multiply
    351,803x = 829,650 × 829,650
  4. Step 4: Simplify right side
    351,803x = 688,319,122,500
  5. Step 5: Solve for x
    x = 688,319,122,500/351,803
  6. Step 6: Final answer
    x = 1,956,547.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.