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Finding the Third Proportional to 306,688,619.25 and 475,784,280

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Solution

The third proportional to 306,688,619.25 and 475,784,280 is: 738,112,427.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,688,619.25 : 475,784,280 = 475,784,280 : x
  2. Step 2: Convert to fraction form
    306,688,619.25/475,784,280 = 475,784,280/x
  3. Step 3: Cross multiply
    306,688,619.25x = 475,784,280 × 475,784,280
  4. Step 4: Simplify right side
    306,688,619.25x = 226,370,681,095,118,400
  5. Step 5: Solve for x
    x = 226,370,681,095,118,400/306,688,619.25
  6. Step 6: Final answer
    x = 738,112,427.02

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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.