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Finding the Third Proportional to 563,072 and 829,674

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Solution

The third proportional to 563,072 and 829,674 is: 1,222,506.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,072 : 829,674 = 829,674 : x
  2. Step 2: Convert to fraction form
    563,072/829,674 = 829,674/x
  3. Step 3: Cross multiply
    563,072x = 829,674 × 829,674
  4. Step 4: Simplify right side
    563,072x = 688,358,946,276
  5. Step 5: Solve for x
    x = 688,358,946,276/563,072
  6. Step 6: Final answer
    x = 1,222,506.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.