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Finding the Third Proportional to 651,307.50 and 1,411,272

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Solution

The third proportional to 651,307.50 and 1,411,272 is: 3,057,985.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,307.50 : 1,411,272 = 1,411,272 : x
  2. Step 2: Convert to fraction form
    651,307.50/1,411,272 = 1,411,272/x
  3. Step 3: Cross multiply
    651,307.50x = 1,411,272 × 1,411,272
  4. Step 4: Simplify right side
    651,307.50x = 1,991,688,657,984
  5. Step 5: Solve for x
    x = 1,991,688,657,984/651,307.50
  6. Step 6: Final answer
    x = 3,057,985.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.