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Finding the Third Proportional to 285,316 and 607,496

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Solution

The third proportional to 285,316 and 607,496 is: 1,293,482.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,316 : 607,496 = 607,496 : x
  2. Step 2: Convert to fraction form
    285,316/607,496 = 607,496/x
  3. Step 3: Cross multiply
    285,316x = 607,496 × 607,496
  4. Step 4: Simplify right side
    285,316x = 369,051,390,016
  5. Step 5: Solve for x
    x = 369,051,390,016/285,316
  6. Step 6: Final answer
    x = 1,293,482.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.