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Finding the Third Proportional to 437,174,284.50 and 625,164,368

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Solution

The third proportional to 437,174,284.50 and 625,164,368 is: 893,992,398.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,174,284.50 : 625,164,368 = 625,164,368 : x
  2. Step 2: Convert to fraction form
    437,174,284.50/625,164,368 = 625,164,368/x
  3. Step 3: Cross multiply
    437,174,284.50x = 625,164,368 × 625,164,368
  4. Step 4: Simplify right side
    437,174,284.50x = 390,830,487,016,839,424
  5. Step 5: Solve for x
    x = 390,830,487,016,839,424/437,174,284.50
  6. Step 6: Final answer
    x = 893,992,398.17

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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.