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Finding the Third Proportional to 435,575 and 653,363

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Solution

The third proportional to 435,575 and 653,363 is: 980,045.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,575 : 653,363 = 653,363 : x
  2. Step 2: Convert to fraction form
    435,575/653,363 = 653,363/x
  3. Step 3: Cross multiply
    435,575x = 653,363 × 653,363
  4. Step 4: Simplify right side
    435,575x = 426,883,209,769
  5. Step 5: Solve for x
    x = 426,883,209,769/435,575
  6. Step 6: Final answer
    x = 980,045.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.