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Finding the Third Proportional to 285,303.50 and 602,433

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Solution

The third proportional to 285,303.50 and 602,433 is: 1,272,068.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,303.50 : 602,433 = 602,433 : x
  2. Step 2: Convert to fraction form
    285,303.50/602,433 = 602,433/x
  3. Step 3: Cross multiply
    285,303.50x = 602,433 × 602,433
  4. Step 4: Simplify right side
    285,303.50x = 362,925,519,489
  5. Step 5: Solve for x
    x = 362,925,519,489/285,303.50
  6. Step 6: Final answer
    x = 1,272,068.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.