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Finding the Third Proportional to 249,483 and 390,915

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Solution

The third proportional to 249,483 and 390,915 is: 612,524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,483 : 390,915 = 390,915 : x
  2. Step 2: Convert to fraction form
    249,483/390,915 = 390,915/x
  3. Step 3: Cross multiply
    249,483x = 390,915 × 390,915
  4. Step 4: Simplify right side
    249,483x = 152,814,537,225
  5. Step 5: Solve for x
    x = 152,814,537,225/249,483
  6. Step 6: Final answer
    x = 612,524.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.