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Finding the Third Proportional to 482,556 and 709,784

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Solution

The third proportional to 482,556 and 709,784 is: 1,044,010.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,556 : 709,784 = 709,784 : x
  2. Step 2: Convert to fraction form
    482,556/709,784 = 709,784/x
  3. Step 3: Cross multiply
    482,556x = 709,784 × 709,784
  4. Step 4: Simplify right side
    482,556x = 503,793,326,656
  5. Step 5: Solve for x
    x = 503,793,326,656/482,556
  6. Step 6: Final answer
    x = 1,044,010.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.