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Finding the Third Proportional to 341,164,393.50 and 487,532,808.50

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Solution

The third proportional to 341,164,393.50 and 487,532,808.50 is: 696,697,087.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,164,393.50 : 487,532,808.50 = 487,532,808.50 : x
  2. Step 2: Convert to fraction form
    341,164,393.50/487,532,808.50 = 487,532,808.50/x
  3. Step 3: Cross multiply
    341,164,393.50x = 487,532,808.50 × 487,532,808.50
  4. Step 4: Simplify right side
    341,164,393.50x = 237,688,239,363,897,664
  5. Step 5: Solve for x
    x = 237,688,239,363,897,664/341,164,393.50
  6. Step 6: Final answer
    x = 696,697,087.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.