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Finding the Third Proportional to 510,302 and 730,461

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Solution

The third proportional to 510,302 and 730,461 is: 1,045,602.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,302 : 730,461 = 730,461 : x
  2. Step 2: Convert to fraction form
    510,302/730,461 = 730,461/x
  3. Step 3: Cross multiply
    510,302x = 730,461 × 730,461
  4. Step 4: Simplify right side
    510,302x = 533,573,272,521
  5. Step 5: Solve for x
    x = 533,573,272,521/510,302
  6. Step 6: Final answer
    x = 1,045,602.94

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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.