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Finding the Third Proportional to 415,387 and 594,011.50

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Solution

The third proportional to 415,387 and 594,011.50 is: 849,448.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,387 : 594,011.50 = 594,011.50 : x
  2. Step 2: Convert to fraction form
    415,387/594,011.50 = 594,011.50/x
  3. Step 3: Cross multiply
    415,387x = 594,011.50 × 594,011.50
  4. Step 4: Simplify right side
    415,387x = 352,849,662,132.25
  5. Step 5: Solve for x
    x = 352,849,662,132.25/415,387
  6. Step 6: Final answer
    x = 849,448.01

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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.