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Finding the Third Proportional to 364,321,734 and 563,506,905

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Solution

The third proportional to 364,321,734 and 563,506,905 is: 871,592,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,321,734 : 563,506,905 = 563,506,905 : x
  2. Step 2: Convert to fraction form
    364,321,734/563,506,905 = 563,506,905/x
  3. Step 3: Cross multiply
    364,321,734x = 563,506,905 × 563,506,905
  4. Step 4: Simplify right side
    364,321,734x = 317,540,031,982,679,040
  5. Step 5: Solve for x
    x = 317,540,031,982,679,040/364,321,734
  6. Step 6: Final answer
    x = 871,592,338.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.