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Finding the Third Proportional to 575,358 and 902,564

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Solution

The third proportional to 575,358 and 902,564 is: 1,415,852.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,358 : 902,564 = 902,564 : x
  2. Step 2: Convert to fraction form
    575,358/902,564 = 902,564/x
  3. Step 3: Cross multiply
    575,358x = 902,564 × 902,564
  4. Step 4: Simplify right side
    575,358x = 814,621,774,096
  5. Step 5: Solve for x
    x = 814,621,774,096/575,358
  6. Step 6: Final answer
    x = 1,415,852.00

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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.