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Finding the Third Proportional to 303,257,587.50 and 433,362,973.50

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Solution

The third proportional to 303,257,587.50 and 433,362,973.50 is: 619,286,951.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,257,587.50 : 433,362,973.50 = 433,362,973.50 : x
  2. Step 2: Convert to fraction form
    303,257,587.50/433,362,973.50 = 433,362,973.50/x
  3. Step 3: Cross multiply
    303,257,587.50x = 433,362,973.50 × 433,362,973.50
  4. Step 4: Simplify right side
    303,257,587.50x = 187,803,466,800,761,696
  5. Step 5: Solve for x
    x = 187,803,466,800,761,696/303,257,587.50
  6. Step 6: Final answer
    x = 619,286,951.23

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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.